Trigonometry MCQs

Question 1

If sec4θ = cosec(θ + 20°), then θ is equal to:

Accepted Answer

14°

Answer

22°

Answer

18°

Answer

20°

Question 2

$${\left( {\frac{{1 - 	an 	heta }}{{1 - \cot 	heta }}} ight)^2} + 1 = ?$$

Accepted Answer

sec 2 θ

Answer

cosec 2 θ

Answer

cos 2 θ

Answer

sin 2 θ

Question 3

The value of $$\frac{1}{{\sqrt 2 }}{	ext{sin}}\frac{\pi }{6}$$ . $${	ext{cos}}\frac{\pi }{4}$$ - $$\cot \frac{\pi }{3}$$ . $${	ext{sec}}\frac{\pi }{6}$$ + $$\frac{{5	an \frac{\pi }{4}}}{{12\sin \frac{\pi }{2}}}$$ is equal to?

Accepted Answer

0

Answer

1

Answer

2

Answer

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

Question 4

The value of cos 2 20° + cos 2 70° is?

Accepted Answer

1

Answer

$$\sqrt 2 $$

Answer

2

Answer

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

Question 5

What is the value of cosec(65° + θ) - sec(25° - θ) + tan 2 20° - cosec 2 70°?

Accepted Answer

-1

Answer

0

Answer

1

Answer

2

Question 6

If $$\frac{{{{\cos }^2}	heta }}{{{{\cot }^2}	heta - {{\cos }^2}	heta }} = 3,$$ 0° < θ < 90°, then the value of cotθ + cosecθ is:

Accepted Answer

$$\sqrt 3 $$

Answer

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

Answer

$$2\sqrt 3 $$

Answer

$$\frac{{3\sqrt 3 }}{4}$$

Question 7

If rsinθ = 1, rcosθ = $$\sqrt 3 {	ext{,}}$$ then the value of r 2 tanθ is?

Accepted Answer

$$\frac{4}{{\sqrt 3 }}$$

Answer

4

Answer

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

Answer

$${	ext{4}}\sqrt 3 $$

Question 8

Maximum value of (2sinθ + 3cosθ) is?

Accepted Answer

$$\sqrt {13} $$

Answer

2

Answer

$$\sqrt {15} $$

Answer

1

Question 9

The numerical value of $$\frac{5}{{{	ext{se}}{{	ext{c}}^2}	heta }}$$ + $$\frac{2}{{1 + {	ext{co}}{{	ext{t}}^2}	heta }}$$ + $${	ext{3}}{\sin ^2}	heta $$ is?

Accepted Answer

5

Answer

2

Answer

3

Answer

4