Trigonometry MCQs

Question 1

If tan15° = 2 - $$\sqrt 3 ,$$ then the value of tan15° cot75° + tan75° cot15° is?

Accepted Answer

14

Answer

12

Answer

10

Answer

8

Question 2

If 0° < θ < 90° and cos 2 θ = 3(cot 2 θ - cos 2 θ) then the value of $${\left( {\frac{1}{2}\sec 	heta + \sin 	heta } ight)^{ - 1}}$$ is:

Accepted Answer

2(2 - √3)

Answer

√3 + 2

Answer

2(√3 - 1)

Answer

√3 + 1

Question 3

If $$\sin 	heta - \cos 	heta = \frac{7}{{13}}$$ and $${0^ \circ }{	ext{ < }}	heta {	ext{ < }}{90^ \circ }{	ext{,}}$$ then the value of $$\sin 	heta $$ + $${	ext{cos}}	heta $$ is?

Accepted Answer

$$\frac{{17}}{{13}}$$

Answer

$$\frac{{13}}{{17}}$$

Answer

$$\frac{1}{{13}}$$

Answer

$$\frac{1}{{17}}$$

Question 4

$$\frac{{{	ext{tan}}	heta + \cot 	heta }}{{{	ext{tan}}	heta - \cot 	heta }} = 2,$$ $$\left( {0 \leqslant 	heta \leqslant {{90}^ \circ }} ight),$$ then the value of $$\sin 	heta $$ is?

Accepted Answer

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

Answer

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

Answer

$$\frac{1}{2}$$

Answer

1

Question 5

The expression (cos 6 θ + sin 6 θ - 1)(tan 2 θ + cot 2 θ + 2) + 3 is equal to:

Accepted Answer

0

Answer

1

Answer

2

Answer

-1

Question 6

If $$	heta + \phi = \frac{\pi }{2}$$ and $$\sin 	heta = \frac{1}{2},$$ then the value of $${	ext{sin}}\phi $$ is?

Accepted Answer

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

Answer

1

Answer

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

Answer

$$\frac{1}{2}$$

Question 7

The value of coses 2 60° + sec 2 60° - cot 2 60° + tan 2 30° will be?

Accepted Answer

$${	ext{5}}\frac{1}{3}$$

Answer

5

Answer

$${	ext{5}}\frac{1}{2}$$

Answer

$${	ext{5}}\frac{2}{3}$$

Question 8

If 5sinθ - 4cosθ = 0, 0° < θ < 90°, then the value of $$\frac{{5\sin 	heta - 2\cos 	heta }}{{5\sin 	heta + 3\cos 	heta }}$$ is:

Accepted Answer

$$\frac{2}{7}$$

Answer

$$\frac{3}{7}$$

Answer

$$\frac{5}{8}$$

Answer

$$\frac{3}{8}$$

Question 9

If sec15θ = cosec15θ (0° < θ < 10°) then the value of θ is?

Accepted Answer

3°

Answer

9°

Answer

5°

Answer

8°