1)

If 4sin² θ = 3(1+ cos θ), 0° < θ < 90°, then what is the value of (2tan θ + 4sin θ - sec θ)?

SSC CGL 2022

A)

4√15 - 3

B)

3√15 - 4

C)

15√3 + 3

D)

15√3 - 4

2)

The value of: \(\frac{{\sin 23^\circ \cos 67^\circ + \sec52^\circ \sin38^\circ + \cos 23^\circ \sin 67^\circ + \rm cosec52^\circ \cos 38^\circ }}{{\rm cose{c^2}20^\circ - {{\tan }^2}70^\circ }}\) is

SSC CGL 2022

A)

0

B)

4

C)

3

D)

2

3)

What is the value of: 8 √3 sin 30º tan 60º - 3 cos 0º + 3 sin² 45º + 2 cos² 30º?

SSC CGL 2022

A)

9

B)

15

C)

18

D)

12

4)

If cos (A - B) = √3/2 and secA = 2, 0º ≤ A ≤ 90º, 0º ≤ B ≤ 90º, then what is the measure of B?

SSC CGL 2022

A)

30º

B)

0º

C)

60º

D)

90º

5)

If tan²A + 2tanA - 63 = 0 Given that 0° < A < 90° what is the value of (2sinA + 5cosA)?

SSC CGL 2022

A)

\(15 \over \sqrt{50}\)

B)

\(19 \over \sqrt{50}\)

C)

\(15\sqrt{50}\)

D)

\(19 \sqrt{50}\)

6)

If sec A = 17/8, given that A < 90°, what is the value of the following? \(34 sin A+15 cot A \over 68 Cos A-16 tan A\)

SSC CGL 2022

A)

23

B)

30

C)

38

D)

19

7)

If 3sec²θ + tanθ - 7 = 0, 0° < θ < 90°, then what is the value of \((\frac{2 sinθ +3 cosθ} {cosecθ +secθ})\) ?

SSC CGL 2022

A)

10

B)

\(\frac{5}{2}\)

C)

\(\frac{5}{4}\)

D)

\(4\sqrt2\)

8)

If cot B = \(\frac{12}{5}\) , what is the value of sec B?

SSC CGL 2022

A)

\(\frac{13}{5}\)

B)

\(\frac{5}{12}\)

C)

\(\frac{13}{12}\)

D)

\(\frac{12}{13}\)

9)

The value of \(1 + \sqrt { {\cotθ + \cosθ} \over \cotθ - \cosθ}\) , if 0° < θ < 90°, is equal to:

SSC CGL 2022

A)

1 + sec θ − tan θ

B)

1 − sec θ − tan θ

C)

1 − sec θ + tan θ

D)

1 + sec θ + tan θ

10)

The value of \( \left({ {1 - \cotθ} \over 1 - \tanθ}\right)^2 - 1\) when 0° < θ < 90°, is equal to:

SSC CGL 2022

A)

cot² θ - 1

B)

sec² θ + 1

C)

cos² - 1

D)

sin² θ - 1