SSC CGL MOST PROBABLE - TRIGONOMETRY QUIZ- 2

Attempt now to get your rank among 2 students!

Question 1:

Find the value:-

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

Question 2:

IF $x \cos \theta-\sin \theta=1$, then $x^{2}-\left(1+x^{2}\right) \sin \theta$ equals.

Question 3:

IF $x+y=135^{\circ}$ then find $\left(1+\tan \frac{x}{3}\right)\left(1+\tan \frac{y}{3}\right)$.

Question 4:

If $\sin (\alpha+ \beta)=1$ and $\sin (\alpha-\beta)=\frac{1}{2}$ then find the value of $\tan (\alpha+2 \beta)$.

Question 5:

Find the value $\tan \left(-225^{\circ}\right) \cot \left(-405^{\circ}\right)-\tan$ $\left(-765^{\circ}\right) \cot \left(675^{\circ}\right)$

Question 6:

Find the value of

$\sin \frac{8 \pi}{3} \cos \frac{23 \pi}{6}+\cos \frac{13 \pi}{3} \sin \frac{35 \pi}{6}$

Question 7:

In the given figure, if $\mathrm{AB}=\mathrm{AC}=8 \mathrm{~cm}, \mathrm{BC}=$ $11 \mathrm{~cm}$ and $\mathrm{BD}=7 \mathrm{~cm}$, then find $\mathrm{AD}=$ ?


Question 8:

Find the value of $\sin 79^{\circ} \sec 11^{\circ}+\sin 11^{\circ} \sec 79^{\circ}$

Question 9:

If $\sin \theta-\cos \theta=\frac{7}{13}$ then find the value of $\sin \theta+\cos \theta=?$

Question 10:

Find the value.

$\left(1+\tan 11^{\circ}\right)\left(1+\tan 21^{\circ}\right)\left(1+\tan 24^{\circ}\right)\left(1+\tan 34^{\circ}\right)\left(1+\tan ^{} 45^{\circ}\right)$

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