SSC CHSL MATHS QUIZ

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Question 1:

If $\sin (A+B)=1$ and $\tan (A-B)=\frac{1}{\sqrt{3}}$, where $A$ and $B$ are acute angles, then the value of $\cos B$ is:

Question 2:

$\tan ^{2} \theta-\sin ^{2} \theta=?$

Question 3:

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

Question 4:

If $\sin \theta+\cos \theta=\frac{\sqrt{6}}{\sqrt{5}}$ then find $\sin ^{2} \theta \operatorname{cos}^{2} \theta$

Question 5:

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 6:

If $\tan \theta=\frac{12}{13}$, then what is the value of $\frac{2 \sin \theta \cos \theta}{\cos ^{2} \theta-\sin ^{2} \theta }$ ?

Question 7:

What is the value of: $ 8 \sqrt{3} \sin 30^{\circ} \cot 60^{\circ}-3 \cos 0^{\circ}+3 \cos ^2 45^{\circ}+2 \sin ^2 30^{\circ}$.

Question 8:

If $\tan ^2 A+2 \tan A-35=0$, Given that $0 < A < \frac{\pi}{2}$ what is the value of $(2 \cos A+5 \sin A)$ ?

Question 9:

$\left(2 \cos ^2 \theta-1\right)\left[\frac{1+\tan \theta}{1-\tan \theta}+\frac{1-\tan \theta}{1+\tan \theta}\right]$

Question 10:

If $\tan \theta \cdot \sin 60^{\circ}=\frac{\sqrt{3}}{2}$, then the value of $\sin \left(\theta-15^{\circ}\right)$ is:

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