SSC CGL MAINS MATHS QUIZ

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Question 1:

The value of
$\frac{2 \sin ^{2} 38^{\circ} \sec ^{2} 52^{\circ}+\cos 64^{\circ} \sin 26^{\circ}+\sin ^{2} 64^{\circ}}{\tan ^{2} 23^{\circ}+\cot ^{2} 23^{\circ}-\sec ^{2} 67^{\circ}-\operatorname{cosec}^{2} 67^{\circ}}$

Question 2:

If $\sin \theta+\cos \theta=\frac{23}{17}$, find $\sin \theta \cos \theta=?$

Question 3:

If $\sec \theta+\cos \theta=\frac{5}{2}$, where $0 \leq \theta \leq 90^{\circ}$, then what is the value of $\sin ^{2} \theta$ ?

Question 4:

If $6 \sin ^{4} \theta+3 \cos ^{4} \theta=2$ then find the value of $7 \operatorname{cosec}^{6} \theta+8 \sec ^{6} \theta$ ?

Question 5:

The value of $\left(\tan ^{2} A+\cot ^{2} A-2\right)-\sec ^{2} A \operatorname{cosec}^{2} A$ is:

Question 6:

In a $\triangle \mathrm{ABC}, \mathrm{AD}$ divides $\mathrm{BC}$ in the ratio $2: 3$, $\angle \mathrm{B}=30^{\circ}, \angle \mathrm{C}=45^{\circ} .$ Find $\frac{\sin \angle \mathrm{BAD}}{\sin \angle \mathrm{CAD}} .$

Question 7:

If $\sin \theta=\sqrt{3} \cos \theta, 0^{\circ}<0<90^{\circ}$ then find the value of $2 \sin ^{2} \theta+\sec ^{2} \theta+\sin \theta . \sec \theta+\operatorname{cosec}$ $\theta$ is.

Question 8:

The greatest value of $\sin ^{4} \theta+\cos ^{4} \theta$ is:

Question 9:

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 10:

Find the value:-

$\frac{1-\tan ^{2} 22 \frac{1}{2}^{\circ}}{1+\tan ^{2} 22 \frac{1}{2}^{\circ}}$

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