Class 11MathematicsTrigonometrical Ratios, Functions and IdentitiesFundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles
EasyFind the angle in radians through which a pendulum swings if its length is $75 \, cm$ and the tip describes an arc of length $21 \, cm$.
- A$7/25 \, \text{radians}$
- B$25/7 \, \text{radians}$
- C$1/3 \, \text{radians}$
- D$3/10 \, \text{radians}$
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If the value of $\frac{3 \cos 36^{\circ}+5 \sin 18^{\circ}}{5 \cos 36^{\circ}-3 \sin 18^{\circ}}$ is $\frac{a \sqrt{5}-b}{c}$ where $a, b, c$ are natural numbers and $\gcd(a, c)=1$,then $a+b+c$ is equal to :
DifficultJEE MAIN 2024
View SolutionFind the degree measure of the angle subtended at the centre of a circle of radius $100 \, cm$ by an arc of length $22 \, cm$ (Use $\pi = \frac{22}{7}$).
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View SolutionIf $\sin A = -\frac{60}{61}$,$\cot B = -\frac{40}{9}$ and neither $A$ nor $B$ is in the $4^{\text{th}}$ quadrant,then $6 \cot A + 4 \sec B = $
Find the radian measure corresponding to the following degree measure: $-47^{\circ} 30^{\prime}$.
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View Solution$\cos ^2\left(\frac{7 \pi}{8}\right)+\cos ^2\left(\frac{5 \pi}{8}\right)+\cos ^2\left(\frac{3 \pi}{8}\right)+\cos ^2\left(\frac{\pi}{8}\right)=$
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