Trigonometry MCQs

Question 1

sin 2 5° + sin 2 6° + ............. sin 2 84° + sin 2 85° = ?

Accepted Answer

$$40\frac{1}{2}$$

Answer

$$30\frac{1}{2}$$

Answer

40

Answer

$$39\frac{1}{2}$$

Question 2

If cos20° = m and cos70° =n, then the value of m 2 + n 2 is?

Accepted Answer

1

Answer

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

Answer

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

Answer

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

Question 3

If $${	ext{0}} \leqslant 	heta \leqslant {90^ \circ }$$ and $$4{\cos ^2}	heta $$ - $$4\sqrt 3 \cos 	heta $$ + 3 = 0 then the value of $$	heta $$ is?

Accepted Answer

30°

Answer

90°

Answer

45°

Answer

60°

Question 4

sin 2 5° + sin 2 10° + sin 2 15° + ...... sin 2 85° + sin 2 90° is equal to?

Accepted Answer

$$9\frac{1}{2}$$

Answer

$${	ext{7}}\frac{1}{2}$$

Answer

$${	ext{8}}\frac{1}{2}$$

Answer

9

Question 5

If cosθ + secθ = $$\sqrt 3 ,$$ then the value of (cos 3 θ + sec 3 θ) is?

Accepted Answer

0

Answer

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

Answer

1

Answer

$$\sqrt 2 $$

Question 6

What is the value of cos15° - cos165°?

Accepted Answer

$$\frac{{\sqrt 3 + 1}}{{\sqrt 2 }}$$

Answer

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

Answer

$$\frac{2}{{\sqrt 3 - 1}}$$

Answer

$$\frac{{\sqrt 3 + 1}}{2}$$

Question 7

2cosec 2 23° cot 2 67° - sin 2 23° - sin 2 67° - cot 2 67° is equal to?

Accepted Answer

sec 2 23°

Answer

1

Answer

tan 2 23°

Answer

0

Question 8

What is the value of the expression cos2Acos2B + sin 2 (A - B) - sin 2 (A + B)?

Accepted Answer

cos(2A + 2B)

Answer

sin(2A - 2B)

Answer

sin(2A + 2B)

Answer

cos(2A - 2B)

Question 9

If xtan60° + cos45° = sec45°, then the value of x 2 + 1 is?

Accepted Answer

$$\frac{7}{6}$$

Answer

$$\frac{6}{7}$$

Answer

$$\frac{5}{6}$$

Answer

$$\frac{6}{5}$$