Introduction to Trigonometry

Q. What is $\cot A$ in terms of $\sin A$?

Q. If sin A = 3/5, what is the value of cos A?

1. 4/5
2. 4/9
3. 2/5
4. 1/5

Q. Which of the following is not correct about similar triangles?

1. The corresponding angles are equal.
2. The ratio of the corresponding angles are equal.
3. The ratio of the corresponding sides are equal.
4. The corresponding sides are equal.

Q.

State true or false:
All corresponding angles are equal for two similar triangles.

1. False

2. True

Q. If sin A = 1/2, what is the value of A?

1. 30 degrees
2. 60 degrees
3. 45 degrees
4. 90 degrees

Q. cos⁴ A − sin⁴ A is equal to

(a) 2 cos² A + 1
(b) 2 cos² A − 1
(c) 2 sin² A − 1
(d) 2 sin² A + 1

Q. What is the value of sin 30 + cos 60?

1. 0.5
2. 0.25
3. 1
4. 2

Q.

In the right triangle ABC, which of the following side is termed as "adjacent side" with respect to the angle $\theta$?

1. BC

2. AC

3. Any side

4. AB

Q. If sin A = 3/5, what is the value of cos A?

1. 4/5
2. 4/9
3. 2/5
4. 1/5

Q.

The solution of ${\tan }^{-1}\left(x\right)+2{\cot }^{-1}\left(x\right)=\frac{2\mathrm{\pi }}{3}$ is

1. $-\frac{1}{\sqrt{3}}$

2. $\frac{1}{\sqrt{3}}$

3. $-\sqrt{3}$

4. $\sqrt{3}$

Q. If sin x = (21/29), find the value of tan x.

1. (20/29)
2. (21/20)
3. (20/21)
4. (29/20)

Q.

All corresponding angles are equal for two similar triangles.

1. False

2. True

Q. If $\sqrt{sinx}+cosx=0$ then sin x =

1. $\frac{\sqrt{5}+1}{2}$
   
2. $\frac{\sqrt{5}+1}{8}$
   
3. $\frac{\sqrt{5}-1}{8}$
   
4. $\frac{\sqrt{5}-1}{2}$
   

Q. Find the value of
$tan{48}^{\circ }.tan{23}^{\circ }.tan{42}^{\circ }.tan{67}^{\circ }$ .

Q. If in two triangles, corresponding sides are in the same ratio, then their corresponding angles may not be equal.

1. True
2. False

Q. The value of
$tan{48}^{\circ }.tan{23}^{\circ }.tan{42}^{\circ }.tan{67}^{\circ }$ is equal to

1. 0
2. 1
3. 2
4. 4

Q. (1+ cos A)/(1- cos A) = 4 + 4 root 3 =
Find value of $\frac{1+sin}{1-sin}$

Q. In the given right triangle, the value of $\sin \theta$ is .

1. $\frac{3}{5}$
2. $\frac{5}{3}$
3. $\frac{4}{5}$
4. $\frac{3}{4}$

Q. If $sin3A=cos(A-{10}^o)$ and $3A$ is acute then, find the value of the angle $A.$

1. ${25}^o$
2. ${30}^o$
3. ${50}^o$
4. ${15}^o$

Q.

In the give right angled triangle ABC. Which is the side adjacent to the angle $\theta$?

1. AC

2. Any side

3. AB

4. BC

Q. The value of the below expression is
$tan{1}^{\circ }.tan{89}^{\circ }.tan{2}^{\circ }.tan{88}^{\circ }$

1. 0
2. 1
3. 2
4. Not defined

Q. i) $tan{48}^{\circ }.tan{23}^{\circ }.tan{42}^{\circ }.tan{67}^{\circ }$ = ___

Q. If in two triangles, corresponding sides are in the same ratio, then their corresponding angles may not be equal.

1. True
2. False

Q. find the value of
sin30^​0 ​. ​cos 60⁰ - ​tan 45⁰ . sec 30^​0 . cosec 60⁰ ​+ 2 . cot 45⁰

Q.

In $\Delta$ABC, right angled at B, if $\angle A$ is made smaller and smaller till it becomes zero, find the value of sin A and cos A.

1. 0, $\sqrt{3}$

2. 0, 1

3. 0, Not defined

4. Not defined, 0

Q. Two triangles are similar by SAS similarity if, the ratio of two corresponding sides is equal and the included angles are equal.

1. True
2. False

Q. The value of the below expression is
$tan{1}^{\circ }.tan{89}^{\circ }.tan{2}^{\circ }.tan{88}^{\circ }$

1. 0
2. 1
3. 2
4. Not defined

Q. If sin A = 1/2, what is the value of A?

1. 30 degrees
2. 60 degrees
3. 45 degrees
4. 90 degrees

Q. $tan{1}^{\circ }.tan{89}^{\circ }=tan{2}^{\circ }.tan{88}^{\circ }$

1. True
2. False

Q. The value of $e^{{\log }_{10}\tan 1+{\log }_{10}\tan 2+{\log }_{10}\tan 3+...+{\log }_{10}\tan 89}$ is

1. $\frac{1}{e}$
2. $e$
3. $0$
4. $1$