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Find the general values of theta from th...

Find the general values of `theta` from the following equations:
i) `sin3theta=cos3theta`
ii) `2cos^(2)theta=1-2sinthetacostheta`
iii) `"cosec"^(2)theta+2"cosec"theta-3=0`

Text Solution

AI Generated Solution

To find the general values of \( \theta \) from the given equations, we will solve each equation step by step. ### i) Solve \( \sin 3\theta = \cos 3\theta \) 1. **Rewrite the equation using tangent**: \[ \frac{\sin 3\theta}{\cos 3\theta} = 1 \implies \tan 3\theta = 1 \] ...
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