Trigonometry MCQs

Question 1

If cotθ = √7, then the value of $$\frac{{{	ext{cose}}{{	ext{c}}^2}	heta - {{\sec }^2}	heta }}{{{	ext{cose}}{{	ext{c}}^2}	heta + {{\sec }^2}	heta }}$$ is:

Accepted Answer

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

Answer

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

Answer

$$\frac{8}{9}$$

Answer

$$\frac{7}{9}$$

Question 2

If tan4θ = cot(40° - 2θ), then θ is equal to:

Accepted Answer

25°

Answer

20°

Answer

35°

Answer

30°

Question 3

If in a triangle ABC, sinA = cosB then the value of cosC is?

Accepted Answer

0

Answer

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

Answer

1

Answer

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

Question 4

What is the value of (1 + cot 2 θ)(1 - cos 2 θ).

Accepted Answer

1

Answer

Can not defined

Answer

0

Answer

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

Question 5

If 0° < A < 90°, then the value of tan 2 A + cot 2 A - sec 2 A cosec 2 A is?

Accepted Answer

-2

Answer

0

Answer

1

Answer

2

Question 6

$$\frac{{\sin 	heta + \cos 	heta }}{{{	ext{sin}}	heta - \cos 	heta }} = 3,$$ then the value of $${\sin ^4}	heta - {	ext{co}}{{	ext{s}}^4}	heta $$ is?

Accepted Answer

$$\frac{3}{5}$$

Answer

$$\frac{1}{5}$$

Answer

$$\frac{2}{5}$$

Answer

$$\frac{4}{5}$$

Question 7

The value of tan10°. tan15°. tan75°. tan80° is?

Accepted Answer

1

Answer

0

Answer

-1

Answer

2

Question 8

The expression $$\frac{{	an {{57}^ \circ } + \cot {{37}^ \circ }}}{{	an {{33}^ \circ } + \cot {{53}^ \circ }}}$$ is equal to?

Accepted Answer

tan57° cot37°

Answer

tan30° cot57°

Answer

tan33° cot 53°

Answer

tan33° cot37°

Question 9

If sinA = $$\frac{5}{{13}}$$ and 7cotB = 24, then the value of (secAcosB)(cosecBtanA) is:

Accepted Answer

$$\frac{{65}}{{42}}$$

Answer

$$\frac{{15}}{{13}}$$

Answer

$$\frac{{13}}{{14}}$$

Answer

$$\frac{{13}}{7}$$