SSC CGL MATHS QUIZ

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Question 1:

If $\sec ^{4} \theta-\sec ^{2} \theta=3$ then the value of $\tan ^{4} \theta+\tan ^{2} \theta$ is:

Question 2:

$\sin ^{2} 60^{\circ}+\cos ^{2} 30^{\circ}+\cot ^{2} 45^{\circ}+\sec ^{2} 60^{\circ}=?$

Question 3:

If $\sec \theta+\tan \theta=12.5$, then $\sec \theta-\tan \theta=$ ?

Question 4:

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 5:

If $3 \sec ^2 \theta+\tan \theta-7=0 \\\ and \\\ 0^{\circ}<\theta<90^{\circ}$, then what is the value of $\left(\frac{2 \sin \theta+3 \cos \theta}{\operatorname{cosec} \theta+\sec \theta}\right) ?$

Question 6:

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

Question 7:

$\tan ^2 A+5 \sec A=13$, where $0^{\circ}< A<90^{\circ}$. Solve for $\mathrm{A}$ (in degrees).

Question 8:

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 B?

Question 9:

What is the value of:

$8 \sqrt{3} \sin 30^{\circ} \tan 60^{\circ}-3 \cos 0^{\circ}+3 \sin ^{2} 45^{\circ}+2 \cos ^{2} 30 ?$

Question 10:

Simplify the following expression: $\operatorname{cosec}^4 A\left(1-\cos ^4 A\right)-2 \cot ^2 A-1$