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Recent questions tagged trigonometry
Questions
A ladder whose length is 10 m lies on a wall at a height of 5 m. What could be the angle of inclination in radian measure ?
sat
math
trigonometry
asked
Jun 27, 2018
by
meena.p
1
answer
In the triangle PQR, the hypotenuse is $1000$ and $\cos \;60^{\circ}= \large\frac{1}{2}$.<br> What is the length of the side PQ ?<br>
sat
math
trigonometry
asked
Jun 26, 2018
by
meena.p
1
answer
The hypotenuse of a triangle as shown in the figure is 25 units . What is its area ?
sat
math
trigonometry
asked
Jun 26, 2018
by
meena.p
1
answer
If $\sin x =\large\frac{1}{\sqrt 3}$, then which of the following must be true ?
sat
math
trigonometry
asked
Jun 26, 2018
by
meena.p
1
answer
Find the value of $\cos 30^{\circ}+\sin 30^{\circ}$
sat
math
trigonometry
asked
Jun 26, 2018
by
meena.p
1
answer
A tree breaks down in a storm and stands in the front as shown in the figure. What is the height of the tree if its tip is 10 m from the bottom?
sat
math
trigonometry
asked
Jun 26, 2018
by
meena.p
1
answer
Which of the following angel is coterminal with $750^{\circ}$ ?
sat
math
trigonometry
asked
Jun 26, 2018
by
meena.p
1
answer
If $\cot x = \large\frac{24}{7}$, then what is $\cos x$
sat
math
trigonometry
asked
Jun 26, 2018
by
meena.p
1
answer
A particle travels along a unit circle and stops at $\large\frac{7 \pi}{6}$ radius. What will be the coordinate at that point ?
sat
math
trigonometry
asked
Jun 26, 2018
by
meena.p
1
answer
Which of the following has the same trigonometric values as $450^{\circ}$ ?
sat
math
trigonometry
asked
Jun 26, 2018
by
meena.p
1
answer
Which of the following represents $\large\frac{2\pi}{3}$ radius given in degrees ?
sat
math
trigonometry
asked
Jun 26, 2018
by
meena.p
1
answer
In right triangle $ABC$, right angled at $C,$ if $\tan A = 1,$ then the value of $2 \sin A \cos A$ is
sat
trigonometry
olympiad
math
class10
asked
Jul 27, 2016
by
meena.p
1
answer
consider the equation sec θ+cosec θ=a, θ ∈(0,2π)-{ π/2, π,3π/2}
jeemain
math
class12
olympiad
cbse
trigonometry
asked
Jul 4, 2015
by
excellentdeals18
0
answers
The angle of elevation of the sun , when the length of the shadow of a verticle pole is equal to its height is _____
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 5, 2014
by
meena.p
1
answer
At a point on level ground, the angle of elevation of a vertical tower is found to be such that its tangent is $ \large\frac{5}{12}$ . On walking $192\;m$ towards the tower. the tangent of the angle of elevation is $\large\frac{3}{4}$. The height of the tower is
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 5, 2014
by
meena.p
1
answer
The captain of an aeroplane who is flying at an alttitude of $1200\;m$ sights two ships at an angle of depression of $60^{\circ}$ and $30^{\circ}$. The distance between the two ships is ________
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 5, 2014
by
meena.p
1
answer
The value of $\sin (70^{\circ}+ \theta) - \cos (20^{\circ}- \theta )$=________
sat
math
trigonometry
olympiad
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
If A and B are angle and $\sin A = \cos B$, then $A+B$ =______
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
If $\sec \theta + \tan \theta =m$ and $\sec \theta - \tan \theta =n$ then $mn $ =______
sat
math
trigonometry
olympiad
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
The value of $(cosec^2 \theta -1) \tan ^2 \theta =$ _____
sat
math
trigonometry
olympiad
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
The value of $ \sin ^2 32+ \sin ^2 58$ is ________
sat
math
trigonometry
olympiad
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
If $ 6x = \sec \theta $ and $ \large\frac{6}{x}$$= \tan \theta $, then the value of $36 \bigg(x^2 - \large\frac{1}{x^2} \bigg)$ is __________
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
2
answers
If $ \sin \theta + \cos \theta = \sqrt 2 \cos (90^{\circ}- \theta)$ then $\cot \theta $ is
sat
math
trigonometry
olympiad
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
1
answer
If $ \cos \theta = \large\frac{2}{3}$, then $2 \sec^2 \theta+2 \tan ^2 \theta -7$ is equal to
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
1
answer
If $x \tan 45^{\circ} \cos 60^{\circ} = \sin 60^{\circ} cot 60^{\circ}$, then x=_______
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
1
answer
The value of $\theta$ satisfying $\sqrt 3 \sin \theta =\cos \theta$ is ________
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
1
answer
The value of $\theta$ if $3 \tan ^2 \theta -1 =0$ is
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
1
answer
If $2 \cos 3 \theta =1$ then the value of $\theta$ is ________
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
1
answer
In a right angled triangle right angle at A, if $\tan C= \sqrt 3$, then the value of $\sin B \cos C + \cos B \sin C$ is _______
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
1
answer
Evaluate $\sin 105^{\large\circ}+\cos 105^{\large\circ}$
sat
math
trigonometry
cbse
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 21, 2014
by
sreemathi.v
1
answer
Find the value of $\mathrm{cosec}(-1410^{\large\circ})$
sat
trigonometry
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-a
easy
asked
May 21, 2014
by
sreemathi.v
1
answer
If the arcs of the same length in two circles subtend angles of $60^{\large\circ}$ and $75^{\large\circ}$ at their respective centres,find the ratio of their radii
sat
trigonometry
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 21, 2014
by
sreemathi.v
1
answer
In right-angled triangle, the difference between the two acute angles is $(\large\frac{\pi}{15})^c$.Find the angles in degrees
sat
trigonometry
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 20, 2014
by
sreemathi.v
1
answer
The angles of a triangle are in the ratio 3 : 4 : 5.Find the smallest angle in degrees and the greatest angle in radians
sat
trigonometry
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 20, 2014
by
sreemathi.v
1
answer
The wheel of a railway carriage is 40cm in diameter and makes 6 revolutions in a second. How fast is the train going?
sat
math
trigonometry
cbse
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 20, 2014
by
sreemathi.v
2
answers
Find the value of $cosec(-\large\frac{41\pi}{4})$
sat
trigonometry
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-a
easy
asked
Apr 22, 2014
by
sreemathi.v
1
answer
$1+i+i^{2}+i^{3} + i^{4}+i^{5}+i^{6}---+i^{2n}\;$ is
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 18, 2014
by
yamini.v
1
answer
If $\;z_{1} = \sqrt{3} + i \sqrt{3}\;$ and $\;z_{2} =\sqrt{3} + i\;$ , then find the quadrant in which $\;(\large\frac{z_{1}}{z_{2}})\;$ lies
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 18, 2014
by
yamini.v
1
answer
What is the reciprocal of $\;3+ \sqrt{7} i$ ?
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 18, 2014
by
yamini.v
1
answer
The conjugate of the complex number $\;\large\frac{1-i}{1+i}\;$ is
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
Prove : $2\sin ^2\large\frac{3\pi}{4}$$+2\cos^2\large\frac{\pi}{4}$$+2\sec^2\large\frac{\pi}{3}$$=10$
sat
trigonometry
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q4
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Find the values of the trigonometric function $\sin(-\large\frac{11\pi}{3})$
sat
trigonometry
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-2
q9
sec-a
easy
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Solve $\;x^{2} + x + 1=0 $
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-6
exemplar
asked
Apr 16, 2014
by
yamini.v
1
answer
Find the radian measure corresponding to the following degree measure :-$240^{\large\circ}$
sat
trigonometry
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-1
q1-iii
sec-a
easy
asked
Apr 16, 2014
by
sreemathi.v
1
answer
Find the multiplicative inverse of the complex number $\;\normalsize -i\;$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
medium
sec-b
asked
Apr 10, 2014
by
yamini.v
1
answer
Express the given complex number in the form $\;a+ib : (-2-\large\frac{1}{3} \normalsize i)^{3}$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
medium
sec-b
asked
Apr 9, 2014
by
yamini.v
1
answer
Express the complex number given below in the form $a+ib$: $(5i)\;(-\large\frac{3}{5}$$i)$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
sec3
q1
exercise5-1
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
Express the given complex number in the form $\;a+ib : (1-i)^{4}$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 9, 2014
by
yamini.v
1
answer
Express the given complex number in the form $\;a+ib :\;[( \normalsize \large\frac{1}{3} +\normalsize i \normalsize \large\frac{7}{3}) + (\normalsize 4 + \normalsize i \normalsize \large\frac{1}{3})-( \normalsize -\large\frac{4}{3}+ \normalsize i)]$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 9, 2014
by
yamini.v
1
answer
Express the complex number $(1-i)-(-1+6i)$ in the form $a+ib$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 9, 2014
by
yamini.v
1
answer
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