Recent questions in Trigonometry & Complex Numbers

Find the value of $\cot \theta$ , if in a right triangle $ABC$ , $AB=6\;cm$ and $AC=8\;cm$ right angled at $B$ .

asked Mar 18, 2019 by meena.clay6

1 answer

In a right triangle, one angle measures $x^{\circ}$ where $\sin x^{\circ}=\large\frac{3}{5}$ . What is $\tan (90^{\circ}-x)$ ?

asked Feb 26, 2019 by meena.clay6

1 answer

For $i= \sqrt {-1}$ , find the value of $(3+i)(3-i)$

asked Feb 18, 2019 by meena.clay6

1 answer

In a right angled triangle, one of the angles measure $x^{\circ}$ If $\sin x^{\circ}=\large\frac{\sqrt 3}{2}$ . What is $\cos(90-x)$ ?

asked Jul 9, 2018 by meena.p

1 answer

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 $\sin C$ ?

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?

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?

asked Jul 9, 2018 by meena.p

1 answer

Simplify $(3i)^9$

asked Jul 9, 2018 by meena.p

1 answer

Simplify $(2+3i)(1-i)$

asked Jul 9, 2018 by meena.p

1 answer

If $x=2+i$ and y is its complex conjugate then evaluate $x^2+2xy+y^2$

asked Jul 9, 2018 by meena.p

1 answer

Evaluate $(5i)^4.(4i)^3$

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

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.

asked Jul 9, 2018 by meena.p

1 answer

$\cos^4 \theta-\sin^4 \theta=$

asked Jul 6, 2018 by meena.p

1 answer

$cosec \bigg(\large\frac{13 \pi}{6}\bigg)$ is equal to

asked Jul 6, 2018 by meena.p

1 answer

$\cot -300^{\circ} =$

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

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 $\sin ^2A+\cos ^2B$

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 ?

asked Jul 6, 2018 by meena.p

1 answer

Simplify the below expression and express in the form of $a+ib$ <br><br> $\qquad \qquad \qquad \qquad \large\frac{5-i}{7+i}$

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> $\qquad \qquad \qquad \large\frac{x}{\sqrt y}$

asked Jul 6, 2018 by meena.p

1 answer

Evaluate $9i^9+10i^{10}+11i^{11}+12i^{12}$

asked Jul 6, 2018 by meena.p

1 answer

An arithmetic sequence begins as follows: $3,3i........$ Give the next term of the sequence

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 ?

asked Jul 6, 2018 by meena.p

1 answer

We don`t use volume balance in a chemical process because

asked Jul 4, 2018 by meena.p

1 answer

If $\sin x=\cos\bigg(\large\frac{13 \pi}{6}\bigg)$ find the value of x

asked Jul 4, 2018 by meena.p

1 answer

If $cosec \theta= \large\frac{5}{12}$ , find the value of $\sin^2 \theta+\cot ^3 \theta$

asked Jul 4, 2018 by meena.p

1 answer

If $\cot c=\sqrt 3$ and $AC=6$ , find the area of the circle

asked Jul 4, 2018 by meena.p

1 answer

Find the value of $cosec \bigg(\large\frac{2\pi}{3}\bigg)$

asked Jul 4, 2018 by meena.p

1 answer

Which of the following angle given below is coterminal with $750^{\circ}$ ?

asked Jul 4, 2018 by meena.p

1 answer

Simplify $i^{14}+i^{122}$

asked Jul 4, 2018 by meena.p

1 answer

Find the value of $\large\frac{\sqrt{-18}}{\sqrt{75}}$

asked Jul 4, 2018 by meena.p

1 answer

Simplify : $(3+4i)^2$

asked Jul 4, 2018 by meena.p

1 answer

Which of the following are the equation $x^2-4x+5$ ?

asked Jul 4, 2018 by meena.p

1 answer

Simplify the expression : $\large\frac{6+\sqrt 8 i}{3- \sqrt 2 i}$

asked Jul 4, 2018 by meena.p

1 answer

If $\sin x =\large\frac{5}{12}$ find the value of $2 \sec^2 x +\cot^2 x$

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

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 ?

asked Jul 2, 2018 by meena.p

1 answer

Which of the following is true based on the given figure ?

asked Jul 2, 2018 by meena.p

1 answer

If $\cot x=\large\frac{6}{8}$ What is the value of $\sin x$

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 $\cos x$ ?

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

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 $x^{\circ}=30^{\circ}$

asked Jun 29, 2018 by meena.p

1 answer

In the triangle below , find the remaining sides

asked Jun 28, 2018 by meena.p

1 answer

If $f(x)=3 \sin x+4 \cos x$ what is $f(\large\frac{\pi}{4})$

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 $\large\frac{5 \pi}{6}$

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 ?

asked Jun 27, 2018 by meena.p

1 answer

If $x \tan 45^{\circ} \cos 60^{\circ} = \sin 60^{\circ} \cot 60^{\circ}$ , then $x$ =_______

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 ______

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 ________

asked Jun 27, 2018 by meena.p

1 answer

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