Trigonometry MCQs

Question 1

What is the value of 5sin 2 60° + 7sin 2 45°+ 8cos 2 45°?

Accepted Answer

$$\frac{{45}}{4}$$

Answer

25

Answer

$$\frac{{57}}{4}$$

Answer

10

Question 2

If secθ + tanθ = m(>1), then the value of sinθ is (0° < θ < 90°)

Accepted Answer

$$\frac{{{m^2} - 1}}{{{m^2} + 1}}$$

Answer

$$\frac{{1 - {m^2}}}{{1 + {m^2}}}$$

Answer

$$\frac{{{m^2} + 1}}{{{m^2} - 1}}$$

Answer

$$\frac{{1 + {m^2}}}{{1 - {m^2}}}$$

Question 3

If $${	ext{tan}}	heta = \frac{4}{3}{	ext{,}}$$ then the value of $$\frac{{3\sin 	heta + 2{	ext{cos}}	heta }}{{3\sin 	heta - 2{	ext{cos}}	heta }}$$ is?

Accepted Answer

3

Answer

0.5

Answer

-0.5

Answer

-3

Question 4

If $$x\cos 	heta - y\sin 	heta $$ = $$\sqrt {{x^2} + {y^2}} $$ and $$\frac{{{{\cos }^2}	heta }}{{{a^2}}}$$ + $$\frac{{{{\sin }^2}	heta }}{{{b^2}}}$$ = $$\frac{1}{{{x^2} + {y^2}}}{	ext{,}}$$ then the correct relation is?

Accepted Answer

$$\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1$$

Answer

$$\frac{{{x^2}}}{{{b^2}}} - \frac{{{y^2}}}{{{a^2}}} = 1$$

Answer

$$\frac{{{x^2}}}{{{b^2}}} + \frac{{{y^2}}}{{{a^2}}} = 1$$

Answer

$$\frac{{{x^2}}}{{{a^2}}} - \frac{{{y^2}}}{{{b^2}}} = 1$$

Question 5

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

Accepted Answer

1

Answer

$$\sqrt 2 $$

Answer

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

Answer

2

Question 6

The value of (1 + cotθ - cosecθ)(1 + tanθ + secθ) is equal to?

Accepted Answer

2

Answer

1

Answer

0

Answer

-1

Question 7

The value of following is, cos24° + cos55° + cos125° + cos204° + cos300° ?

Accepted Answer

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

Answer

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

Answer

2

Answer

1

Question 8

If θ is positive acute angle and 7cos 2 θ + 3sin 2 θ = 4, then value of θ is?

Accepted Answer

60°

Answer

30°

Answer

45°

Answer

90°

Question 9

$$\sqrt {\frac{{1 + {	ext{sin }}	heta }}{{1 - {	ext{sin }}	heta }}} $$ + $$\sqrt {\frac{{1 - {	ext{sin }}	heta }}{{1 + {	ext{sin }}	heta }}} $$ is equal to?

Accepted Answer

2secθ

Answer

2cosθ

Answer

2sinθ

Answer

2cotθ