$\sin 163°\cos 347°+\sin 73°\sin 167°=$

Important Questions on Trigonometric Ratios and Identities

MEDIUM

Mathematics

IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 10 - Trigonometric Ratios and Identities>EXERCISE>Q 18

If $\sin 2\theta +\sin 2\varphi =\frac{1}{2},\cos 2\theta +\cos 2\varphi =\frac{3}{2}$ then ${\cos }^2(\theta -\varphi )=$

MEDIUM

Mathematics

IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 10 - Trigonometric Ratios and Identities>EXERCISE>Q 19

If $\underset{x\to 2}{\mathrm{Lt}}=\frac{2x^2-4f\left(x\right)}{x-2}=m$, where $f\left(2\right)=2,f^{\text{'}}\left(2\right)=1$, then $\mathrm{cosec}10°-\sqrt{3}\sec 10°$ is

EASY

Mathematics

IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 10 - Trigonometric Ratios and Identities>EXERCISE>Q 20

In a $\Delta PRQ,\angle R=\frac{\pi }{2}$. If $\tan \frac{P}{2}$ and $\tan \frac{Q}{2}$ are the roots of equation $a{x}^2+bx+c=0(a\ne 0)$, then

EASY

Mathematics

IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 10 - Trigonometric Ratios and Identities>EXERCISE>Q 21

$\tan 100°+\tan 125°+\tan 100°\tan 125°=$

EASY

Mathematics

IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 10 - Trigonometric Ratios and Identities>EXERCISE>Q 22

The equation $a\sin x+b\cos x=c$, where $\left|c\right|>\sqrt{a^2+b^2}$, has

EASY

Mathematics

IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 10 - Trigonometric Ratios and Identities>EXERCISE>Q 23

The value of $\cos \frac{2\pi }{7}+\cos \frac{4\pi }{7}+\cos \frac{6\pi }{7}$ is

MEDIUM

Mathematics

IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 10 - Trigonometric Ratios and Identities>EXERCISE>Q 24

The maximum value of $12\sin \theta -9{\sin }^2\theta$ is

MEDIUM

Mathematics

IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 10 - Trigonometric Ratios and Identities>EXERCISE>Q 25

If $\tan \theta \tan (\frac{\pi }{3}+\theta )\tan (-\frac{\pi }{3}+\theta )=k\tan 3\theta$, then $k=$