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Recent questions tagged trigonometry
Questions
In a triangle $PQR$ right angled at $Q$, $QR=12\;cm$ and $PR=20\;cm$ . Triangle $ABC$ is similar to triangle $PQR$ where the vertices P,Q and R are corresponding to the vertices A,B and C. Each side of $\Delta ABC$ is $\large\frac{1}{4}$ the length of the corresponding slides of $\Delta PQR$. What is the value of $\sin C$ ?
sat
math
trigonometry
asked
Jul 9, 2018
by
meena.p
1
answer
A building $A,B$ is 40 m long. It cuts the shadow that is as long as the building then what is an angle $x$ in the given figure below?
sat
math
trigonometry
asked
Jul 9, 2018
by
meena.p
1
answer
If $x$ is an angle such that $0< x<90^{\circ}$, which of the following statements is not always true?
sat
math
trigonometry
asked
Jul 9, 2018
by
meena.p
1
answer
Simplify $(3i)^9$
sat
math
trigonometry
asked
Jul 9, 2018
by
meena.p
1
answer
Simplify $(2+3i)(1-i)$
sat
math
trigonometry
asked
Jul 9, 2018
by
meena.p
1
answer
If $x=2+i$ and y is its complex conjugate then evaluate $x^2+2xy+y^2$
sat
math
trigonometry
asked
Jul 9, 2018
by
meena.p
1
answer
Evaluate $(5i)^4.(4i)^3$
sat
math
trigonometry
asked
Jul 9, 2018
by
meena.p
1
answer
The complex number $2+4i$ is one of the roots to the quadratic equation $x^2+bx+c=0$ where $b$ and $c$ are real numbers. The values of $b$ and $c$ are
sat
math
trigonometry
asked
Jul 9, 2018
by
meena.p
1
answer
Find the value of $k$ if $\large\frac{2-ki}{k-i}$ is purely an imaginary number.
sat
math
trigonometry
asked
Jul 9, 2018
by
meena.p
1
answer
$\cos^4 \theta-\sin^4 \theta=$
sat
math
trigonometry
asked
Jul 6, 2018
by
meena.p
1
answer
$cosec \bigg(\large\frac{13 \pi}{6}\bigg)$ is equal to
sat
math
trigonometry
asked
Jul 6, 2018
by
meena.p
1
answer
$\cot -300^{\circ} =$
sat
math
trigonometry
asked
Jul 6, 2018
by
meena.p
1
answer
$\sin^2 \large\frac{\pi}{4} + \normalsize \cos^2 \large\frac{\pi}{3}-$$2 \tan^2 \large\frac{\pi}{3}$ is
sat
math
trigonometry
asked
Jul 6, 2018
by
meena.p
1
answer
In a right angled triangle $ABC$, and if $\angle C$ is $90^{\circ}$, and if $\tan B=\large\frac{4}{3}$, find the value of $\sin ^2A+\cos ^2B$
sat
math
trigonometry
asked
Jul 6, 2018
by
meena.p
1
answer
given $\sin x=k$, where $\large\frac{\pi}{2} < \normalsize x< \large\frac{\rho \pi}{2}$ and $x$ is a radian measure of an angle. $\sin z=-k$ which of the following could not be the value ?
sat
math
trigonometry
asked
Jul 6, 2018
by
meena.p
1
answer
Simplify the below expression and express in the form of $a+ib$<br><br> $\qquad \qquad \qquad \qquad \large\frac{5-i}{7+i}$
sat
math
trigonometry
asked
Jul 6, 2018
by
meena.p
1
answer
If $4x^2=y^3$, what is the following equivalent to in terms of: $y$ <br><br>$\qquad \qquad \qquad \large\frac{x}{\sqrt y}$
sat
math
trigonometry
asked
Jul 6, 2018
by
meena.p
1
answer
Evaluate $9i^9+10i^{10}+11i^{11}+12i^{12}$
sat
math
trigonometry
asked
Jul 6, 2018
by
meena.p
1
answer
An arithmetic sequence begins as follows: $3,3i........$ Give the next term of the sequence
sat
math
trigonometry
asked
Jul 6, 2018
by
meena.p
1
answer
From $\large\frac{3}{4}+\frac{1}{2}\;$$i$ subtract its complex conjugate . What is the difference ?
sat
math
trigonometry
asked
Jul 6, 2018
by
meena.p
1
answer
If $\sin x=\cos\bigg(\large\frac{13 \pi}{6}\bigg)$ find the value of x
sat
math
trigonometry
asked
Jul 4, 2018
by
meena.p
1
answer
If $cosec \theta= \large\frac{5}{12}$ , find the value of $\sin^2 \theta+\cot ^3 \theta$
sat
math
trigonometry
asked
Jul 4, 2018
by
meena.p
1
answer
If $\cot c=\sqrt 3$ and $AC=6$ , find the area of the circle
sat
math
trigonometry
asked
Jul 4, 2018
by
meena.p
1
answer
Find the value of $cosec \bigg(\large\frac{2\pi}{3}\bigg)$
sat
math
trigonometry
asked
Jul 4, 2018
by
meena.p
1
answer
Which of the following angle given below is coterminal with $750^{\circ}$ ?
sat
math
trigonometry
asked
Jul 4, 2018
by
meena.p
1
answer
Simplify $i^{14}+i^{122}$
sat
math
trigonometry
asked
Jul 4, 2018
by
meena.p
1
answer
Find the value of $\large\frac{\sqrt{-18}}{\sqrt{75}}$
sat
math
trigonometry
asked
Jul 4, 2018
by
meena.p
1
answer
Simplify : $(3+4i)^2$
sat
math
trigonometry
asked
Jul 4, 2018
by
meena.p
1
answer
Which of the following are the equation $x^2-4x+5$?
sat
math
trigonometry
asked
Jul 4, 2018
by
meena.p
1
answer
Simplify the expression : $\large\frac{6+\sqrt 8 i}{3- \sqrt 2 i}$
sat
math
trigonometry
asked
Jul 4, 2018
by
meena.p
1
answer
$2\sin ^2\large\frac{3\pi}{4}$$+2\cos^2\large\frac{\pi}{4}$$+2\sec^2\large\frac{\pi}{3}$ =
cl38429
sat
trigonometry
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q4
sec-b
medium
asked
Jul 3, 2018
by
pady_1
1
answer
If $\sin x =\large\frac{5}{12}$ find the value of $2 \sec^2 x +\cot^2 x$
sat
math
trigonometry
asked
Jul 2, 2018
by
meena.p
1
answer
Find the area of this isosceles triangle ABC shown below, where $AB =15\;m$ and $BC= 20\;m$ and $\angle ABC=60^{\circ}$. Then the
sat
math
trigonometry
asked
Jul 2, 2018
by
meena.p
1
answer
The cosine of which angle given below is not equal to this cosine of the other three ?
sat
math
trigonometry
asked
Jul 2, 2018
by
meena.p
1
answer
Which of the following is true based on the given figure ?
sat
math
trigonometry
asked
Jul 2, 2018
by
meena.p
1
answer
If $\cot x=\large\frac{6}{8}$ What is the value of $\sin x$
sat
math
trigonometry
asked
Jun 29, 2018
by
meena.p
1
answer
If the area of $\triangle ABC $ is 225 and $AB=17$, then what is the value of $\cos x$ ?
sat
math
trigonometry
asked
Jun 29, 2018
by
meena.p
1
answer
Which of the following is the measure in degrees of $\angle PQR$ in the figure below
sat
math
trigonometry
asked
Jun 29, 2018
by
meena.p
1
answer
Find the area of an isosceles triangle given below, where equal sides are each 10m and $x^{\circ}=30^{\circ}$
sat
math
trigonometry
asked
Jun 29, 2018
by
meena.p
1
answer
In the triangle below , find the remaining sides
sat
math
trigonometry
asked
Jun 28, 2018
by
meena.p
1
answer
If $f(x)=3 \sin x+4 \cos x$ what is $f(\large\frac{\pi}{4})$
sat
math
trigonometry
asked
Jun 28, 2018
by
meena.p
1
answer
What can be the coordinates of a points on a unit circle at an angle of $\large\frac{5 \pi}{6}$
sat
math
trigonometry
asked
Jun 27, 2018
by
meena.p
1
answer
A tree casts a shadow $24\; m$ long and cosin of the angle of elevation from the tip of the shadow to the top of the tree is $\dfrac{4}{5}$, what is the height of the tree ?
sat
math
trigonometry
asked
Jun 27, 2018
by
meena.p
1
answer
If $x \tan 45^{\circ} \cos 60^{\circ} = \sin 60^{\circ} \cot 60^{\circ}$, then $x$ =_______
sat
math
trigonometry
asked
Jun 27, 2018
by
meena.p
1
answer
If $\cos \theta = \large\frac{3}{4}$ then the value of $9 \tan ^2 \theta +9 $ is ______
sat
math
trigonometry
asked
Jun 27, 2018
by
meena.p
1
answer
If $2 \mathrm{cosec}^2 30^{\circ} + x \sin^2 60^{\circ}- \large\frac{3}{4} $$\tan^2 30 =10$ then the value of $x$ is ________
sat
math
trigonometry
asked
Jun 27, 2018
by
meena.p
1
answer
A kite is flying attached to a thread which is $165\;m$ long. The thread makes an angle of $30^{\circ}$ with the ground. The height of the kite from the ground is ________
sat
math
trigonometry
asked
Jun 27, 2018
by
meena.p
1
answer
From the top of a $50\;m$ high building, the angle of depression of a car on the road is $30^{\circ}$. The distance between the car and the building is ________
sat
math
trigonometry
asked
Jun 27, 2018
by
meena.p
1
answer
The height of a tower is $10 \;m$. Find the length of its shadow when sun's attitude makes an angle of $45^{\circ}$ to the horizontal
sat
math
trigonometry
asked
Jun 27, 2018
by
meena.p
1
answer
If $ \tan \theta = \large\frac{20}{21}$ then $ \large\frac{\cos \theta - \sin \theta}{\cos \theta +\sin \theta}$ is
sat
math
trigonometry
asked
Jun 27, 2018
by
meena.p
1
answer
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