SSC CGL QUANT QUIZ(TRIGONOMETRY)

Attempt now to get your rank among 40 students!

Question 1:

If $\frac{\cos ^{4} \alpha}{\cos ^{2} \beta}+\frac{\sin ^{4} \alpha}{\sin ^{2} \beta}=1$, then the value of $\frac{\cos ^{4} \beta}{\cos ^{2} \alpha}+\frac{\sin ^{4} \beta}{\sin ^{2} \alpha}$ is:

Question 2:

$\sec A(1-\sin A)(\sec A+\tan A)=?$

Question 3:

Solve it : $ \sqrt{\frac{\sec \theta-1}{\sec \theta+1}}+\sqrt{\frac{\sec \theta+1}{\sec \theta-1}} $

Question 4:

The value of $\sin ^{2} 16^{\circ}-\cos ^{2} 74^{\circ}+1$ is:

Question 5:

Find the value of $\sin 190^{\circ}-\sin 185^{\circ}=?$

Question 6:

If $\sec 3 x=\operatorname{cosec}\left(3 x-45^{\circ}\right)$, where $3 x$ is an acute angle, then $x$ is equal to

Question 7:

If $\cos (A-B)=\frac{\sqrt{3}}{2}$ and $\sec A=2,0^{\circ} \leq A \leq 90^{\circ}, 0^{\circ} \leq B \leq 90^{\circ}$ then what is the measure of $\mathrm{B}$ ?

Question 8:

If $4 \sin ^2 \theta=3(1+\cos \theta), 0^{\circ}<\theta<90^{\circ}$, then what is the value of $(2 \tan \theta+4 \sin \theta-\sec \theta) ?$

Question 9:

The value of $\frac{\sin ^2 30^{\circ}+\cos ^2 60^{\circ}-\sec 35^{\circ} \cdot \sin 55^{\circ}}{\sec 60^{\circ}+\operatorname{cosec} 30^{\circ}}$ is equal to:

Question 10:

The value of $\frac{\sin 23^{\circ} \cos 67^{\circ}+\sec 52^{\circ} \sin 38^{\circ}+\cos 23^{\circ} \sin 67^{\circ}+\operatorname{cosec} 52^{\circ} \cos 38^{\circ}}{\operatorname{cosec}^2 20^{\circ}-\tan ^2 70^{\circ}}$ is