91)

Solve for x?
sin²x - 4 sin x + 3 = 0, 0  ≤ x ≤  π/2

SSC CHSL 2021

A)

π/6

B)

π/4

C)

π/2

D)

π/3

92)

If tan θ = 15, then what is the value of sec θ?

SSC CHSL 2021

A)

1/√226

B)

1/√224

C)

√226

D)

√224

93)

What is the value of  \(\frac{{ta{n^2}{{60}^0} - 2si{n^2}{{45}^0}}}{{cos{{24}^0}cos{{37}^0}coses{{53}^0}cos{{60}^0}cosec{{66}^0} + si{n^2}{{60}^0}}}\)?

SSC CHSL 2021

A)

2

B)

\(1\frac{4}{{5}}\)

C)

1

D)

\(1\frac{3}{{5}}\)

94)

If tanθ + cotθ = 4, then the ratio of 3\((tan^2\theta+cot^2\theta)\) to (2cosec²θ sec²θ - 4) will be:

SSC CHSL 2021

A)

5 : 4

B)

4 : 3

C)

3 : 2

D)

3 : 4

95)

If Y = tan35°, then the value of (2tan55° + cot55°) is :

SSC CHSL 2021

A)

\(\rm \frac{2}{Y^2}\)

B)

\(\frac{2 - Y^2}{Y}\)

C)

\(\frac{2 - Y}{Y^2}\)

D)

\(\frac{2 + Y^2}{Y}\)

96)

If tan²x - 3tanx + 2 = 0 and (0° < x < 90°), then the value of x is :

SSC CHSL 2021

A)

45°

B)

60°

C)

90°

D)

30°

97)

What is the value of \(\frac{ \sin 33^\circ \cos 57^\circ + \sec 62^\circ \sin 28^\circ + \cos 33^\circ \sin 57^\circ + \rm cosec 62^\circ \cos 28^\circ}{\tan 15^\circ \tan 35^\circ \tan 60^\circ \tan 55^\circ \tan 75^\circ}\) ?

SSC CHSL 2021

A)

2√3

B)

√3

C)

2

D)

\(\frac{\sqrt 3}{3}\)

98)

If A = 60°, then what is the value of (4cos³ A - 3cos A)?

SSC CHSL 2021

A)

-1

B)

\(- \frac{\sqrt 3}{2}\)

C)

\(\frac{\sqrt 3}{2}\)

D)

1

99)

If \(sin\theta = \frac{12}{13}\), then \(\frac{sin^2\theta - cos^2 \theta }{2cos\theta sin \theta } \times cot^2\theta=?\)

SSC CHSL 2021

A)

\(\dfrac{119}{864}\)

B)

\(\dfrac{595}{1152}\)

C)

\(\dfrac{119}{144}\)

D)

\(\dfrac{595}{3456}\)

100)

If \((cos^2\theta-1)(2sec^2\theta)+\)\(sec^2\theta+2tan^2\theta=2\), 0° < θ < 90° , then the value of \(\dfrac{(sec\theta + sin\theta)}{(cosec \theta - cos \theta )}\)will be:

SSC CHSL 2021

A)

2

B)

-1

C)

3

D)

-3