Trigonometry MCQs

Question 1

If sinα .sec(30° + α) = 1, (0 < α < 60°), then the value of sinα + cos2α is?

Accepted Answer

1

Answer

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

Answer

0

Answer

$$\sqrt 2 $$

Question 2

If cosθ.cosec23° = 1, the value of θ is?

Accepted Answer

67°

Answer

23°

Answer

37°

Answer

63°

Question 3

If sec 2 θ + tan 2 θ = 7, then the value of θ when 0° ≤ θ ≤ 90° is?

Accepted Answer

60°

Answer

30°

Answer

0°

Answer

90°

Question 4

What is the value of $$\frac{{\cos {{40}^ \circ } - \cos {{140}^ \circ }}}{{\sin {{80}^ \circ } + \sin {{20}^ \circ }}}?$$

Accepted Answer

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

Answer

$$2\sqrt 3 $$

Answer

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

Answer

$$\sqrt 3 $$

Question 5

tan(θ - 14π) is equal to:

Accepted Answer

tanθ

Answer

-cotθ

Answer

cotθ

Answer

-tanθ

Question 6

Evaluate : 3cos80°.cosec10° + 2cos59°.cosec31°

Accepted Answer

5

Answer

1

Answer

3

Answer

2

Question 7

If $$\frac{{\cos 	heta }}{{1 - \sin 	heta }}$$ + $$\frac{{\cos 	heta }}{{1 + {	ext{sin }}	heta }}$$ = 4, then the value of $$	heta \left( {{0^ \circ } < 	heta < {{90}^ \circ }} ight)$$ is?

Accepted Answer

60°

Answer

45°

Answer

30°

Answer

35°

Question 8

If $$\sin \frac{{\pi x}}{2} = {x^2} - 2x + 2,$$ the value of x is?

Accepted Answer

1

Answer

0

Answer

-1

Answer

None of these

Question 9

If tan 2 A + 2tanA - 63 = 0, given that 0 < A < $$\frac{\pi }{2}$$ what is the value of (2sinA + 5cosA)?

Accepted Answer

$$\frac{{19}}{{\sqrt {50} }}$$

Answer

$$19\sqrt {50} $$

Answer

$$15\sqrt {50} $$

Answer

$$\frac{{15}}{{\sqrt {50} }}$$