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Recent questions and answers in Trigonometry & Complex Numbers
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SAT
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Math
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Trigonometry & Complex Numbers
Evaluate : $\large\frac{10+2i}{(3+i)(3-i)}\qquad (i=\sqrt{-1})$
sat
math
trigonometry
calculator
answered
Jan 11
by
priyanka.clay6
1
answer
If $i=\sqrt{-1}$, what is the value of $i^{24}+i^{32}$
sat
math
trigonometry
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
If $\sin \theta - \cos \theta = \frac{1}{2},$ then the value of $\large\frac{1}{\sin \theta + \cos \theta} = $
sat
math
trigonometry
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
The length of the shadow of a $60$ feet tall building is $60\sqrt{3}$. What can be the angle of elevation of the Sun ?
sat
math
trigonometry
no calculator
answered
Jan 6
by
priyanka.clay6
1
answer
If $i=\sqrt{-1},$ then what is the value of $(i)^{729}$
sat
math
trigonometry
no calculator
answered
Jan 3
by
priyanka.clay6
1
answer
If $\sin^2 \theta+ \cos^2 \theta = 1$, then what is $\sec \theta$ in terms of $\sin \theta$ ?
sat
math
trigonometry
no calculator
answered
Jan 1
by
priyanka.clay6
1
answer
Solve: $\tan \bigg(\large\frac{5 \pi}{3}\bigg)$ equals
sat
math
trigonometry
no-calculator
answered
Dec 30, 2019
by
priyanka.clay6
1
answer
If $i=\sqrt{-1},$ then find the value of $(i^{89}+i^{72})^3$
sat
math
trigonometry
calculator
answered
Dec 22, 2019
by
priyanka.clay6
1
answer
ABC is a right angled triangle, right angled at $C$. If $CB= 3\;cm$ and the length are $3cm,\;4 cm\;$ and $5\;cm$, which trigonometric ratio of $\angle A$ is greatest ?
sat
math
trigonometry
calculator
answered
Dec 22, 2019
by
priyanka.clay6
1
answer
If $i=\sqrt{-1}$, then evaluate $(3i+9)(2i-8)$
sat
math
trigonometry
calculator
answered
Dec 19, 2019
by
priyanka.clay6
1
answer
In a right triangle, one angle measures $x^{\circ}$ where $\sin x = \large\frac{4}{5},$ what is the $\cos (90^{\circ}-x).$ ?
sat
math
trigonometry
calculator
answered
Dec 18, 2019
by
priyanka.clay6
1
answer
If $7 \sin^2 \theta + 3 \cos^2 \theta = 4,$ then $\tan \theta=$
sat
math
trigonometry
calculator
answered
Dec 18, 2019
by
priyanka.clay6
1
answer
Jare's house is in front of a $20\;m$ high tower. It cents a shadow on the ground, which is $20\sqrt{3}\;m$ long. What can be the sum altitude ?
sat
math
trigonometry
no calculator
answered
Dec 16, 2019
by
priyanka.clay6
1
answer
If $\cos \theta =\frac{a}{b}$, then $\mathrm{cosec }\; \theta=$
sat
math
trigonometry
no calculator
answered
Dec 16, 2019
by
priyanka.clay6
1
answer
If $i=\sqrt{-1}$, then what can be the value of $(i^{32})^{64}$
sat
math
trigonometry
no calculator
answered
Dec 13, 2019
by
priyanka.clay6
1
answer
Whenever $\cos \theta =0$ and $0 \leq \theta \leq \pi$, the value of $\sin \theta = $
sat
math
trigonometry
no calculator
answered
Dec 13, 2019
by
priyanka.clay6
1
answer
Find the value of $(6-2i)(3-5i)$
sat
math
trigonometry
no calculator
answered
Dec 12, 2019
by
priyanka.clay6
1
answer
What is $i^{128}$?
sat
math
trigonometry
calculator
answered
Dec 11, 2019
by
priyanka.clay6
1
answer
If $i=\sqrt{-1} $ then $(i^2+i)(i^4-i^2)=$
sat
math
trigonometry
calculator
answered
Dec 6, 2019
by
priyanka.clay6
1
answer
A kite is flying at a height 30 m from the ground. The length of the string from the kite to the ground is 60 m. Assuming that there is no slack in the string, find the angle of elevation of the kite at the ground.
sat
math
trigonometry
calculator
answered
Dec 6, 2019
by
priyanka.clay6
1
answer
If $i=\sqrt{-1}$, then evaluate $(7-3i)(7+3i)$
sat
math
trigonometry
no calculator
answered
Dec 3, 2019
by
priyanka.clay6
1
answer
$\begin{align*}\large\frac{(i^3)^{729}}{(i^4)^{64}} = \end{align*}$
sat
math
trigonometry
calculator
answered
Dec 2, 2019
by
priyanka.clay6
1
answer
If $f(y)=\tan y+ \cot y$, then the value of $f(\large\frac{\pi}{4})$ is
sat
math
trigonometry
calculator
answered
Dec 1, 2019
by
priyanka.clay6
1
answer
Which of the following expressions is equivalent to $(6+5i)^3$
sat
math
trigonometry
calculator
answered
Nov 28, 2019
by
priyanka.clay6
1
answer
If $(2+4i)(5-ki)=50$, then the value of $k$ is
sat
math
trigonometry
no calculator
answered
Nov 26, 2019
by
priyanka.clay6
1
answer
In trapezium $ABCD$, if $AB = 9\; cm, DC = 6\; cm$ and $BD = 12\; cm$, then $BO$ is equal to
sat
math
trigonometry
no calculator
answered
Nov 26, 2019
by
priyanka.clay6
1
answer
If $\begin{align*}\frac{\sin \theta + \cos \theta}{\sin \theta - \cos \theta} = \frac{\sqrt{3}+1}{\sqrt{3}-1} \end{align*}$, then the acute angle $\theta$ is
sat
math
trigonometry
calculator
answered
Nov 25, 2019
by
priyanka.clay6
1
answer
In the figure given $\tan a = x$. What is the value of $\cos b$ ?
sat
math
trigonometry
no calculator
answered
Nov 18, 2019
by
priyanka.clay6
1
answer
If $i=\sqrt{-1}$, what is the value of $(i+3)(i-\frac{1}{2})?$
sat
math
trigonometry
no calculator
answered
Nov 18, 2019
by
priyanka.clay6
1
answer
$(i^{100})^{25} = $
sat
math
trigonometry
calculator
answered
Nov 18, 2019
by
priyanka.clay6
1
answer
Elina wanted to build a ramp for her elderly cat, polly walk up to her bed. She needs the ramp to make an angle of $30^\circ$ with the bedroom floor. How long must the ramp be to reach the top of her bed that is exactly three feet above the ground ?
sat
math
trigonometry
calculator
answered
Nov 17, 2019
by
priyanka.clay6
1
answer
For $i = \sqrt{-1}\;$, Evaluate $\frac{7+3i}{7-3i}$
sat
math
trigonometry
no calculator
answered
Nov 4, 2019
by
priyanka.clay6
1
answer
$\cot (-300)=$
sat
math
trigonometry
no calculator
answered
May 28, 2019
by
meena.clay6
1
answer
If $0 < x< \large\frac{\pi}{2}$ and $\large\frac{\cos x}{1-\sin^2x} = \frac{5}{2}$, what is the value of $\cos x$?
sat
math
trigonometry
no calculator
answered
May 28, 2019
by
meena.clay6
1
answer
Find the value of $cosec \bigg(\large\frac{2\pi}{3}\bigg)$
sat
math
trigonometry
calculator
answered
May 28, 2019
by
meena.clay6
1
answer
If $i=\sqrt{-1}$ then what is the value of $(i)^{128}$
sat
math
trigonometry
no-calculator
answered
May 23, 2019
by
meena.clay6
1
answer
$\Delta XYZ$ is a right angled triangle , right angled at Y as shown in figure . What is the value of the difference of $\sin 60^{\circ}$ and $\cos 30^{\circ}$ if the ratio of the sides are $1: \sqrt 3:2$
sat
math
trigonometry
no-calculator
answered
May 8, 2019
by
meena.clay6
1
answer
Solve: $\large\frac{(2+3i)(2-3i)}{1-i}=$
sat
math
trigonometry
no-calculator
answered
May 7, 2019
by
meena.clay6
1
answer
Given below is a triangle one of the acute angles is $60^{\circ}$. The base of the triangle is given as 15 cm. What is its height ?
sat
math
trigonometry
calculator
answered
Apr 29, 2019
by
meena.clay6
1
answer
In the figure below, the circle with centre $o$ has $OA = 4$ and $BC =2$, What is the value of $x$? <br><br>
sat
math
trigonometry
calculator
answered
Apr 28, 2019
by
priyanka.clay6
1
answer
What is the length of each side of a square, if its diagonal is 15 ?
sat
math
trigonometry
no calculator
answered
Apr 25, 2019
by
priyanka.clay6
1
answer
In the XY plane above , O is the center of the circle. The measure of $\angle AOX$ is
sat
math
trigonometry
no-calculator
answered
Apr 12, 2019
by
meena.clay6
1
answer
Value for $((i^4)^8)^{10}$ is
sat
math
trigonometry
calculator
answered
Apr 7, 2019
by
priyanka.clay6
1
answer
If a complex number coincides with its conjugate then the number must lie on
sat
math
trigonometry
no-calculator
answered
Apr 5, 2019
by
priyanka.clay6
1
answer
The value for $\frac{1-i}{1+i} $ is
sat
math
complex numbers
no-calculator
answered
Apr 4, 2019
by
priyanka.clay6
1
answer
If $i =\sqrt{-1}$, what can be the value of $\dfrac{(3+i)(2-i)}{3-i } $ is
sat
math
trigonometry
calculator
answered
Apr 2, 2019
by
priyanka.clay6
1
answer
If the complex number $A$ satisfies the equation $A(3-i) = 2 + i$, where $i = \sqrt{-1}$, what is the value of $A$.
sat
math
trigonometry & complex number
calculator
answered
Apr 1, 2019
by
priyanka.clay6
1
answer
If $\cos x = a$ where $\frac{\pi}{2} < x < \pi$, and $\cos y = -a$, then which of the following could be the value of $y$ ?
sat
math
trigonometry & complex number
calculator
answered
Apr 1, 2019
by
priyanka.clay6
1
answer
If $( \cos x) (\sin x) = 0.5$, what is the value of $(\cos x + \sin x)^2 $
sat
math
trigonometry & complex number
calculator
answered
Apr 1, 2019
by
priyanka.clay6
1
answer
Convert $210^{\circ}$ to radian
sat
math
trigonometry
calculator
answered
Apr 1, 2019
by
meena.clay6
1
answer
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