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Find the geneal values of theta from the...

Find the geneal values of `theta` from the following equations:
i) `sintheta=sqrt(3)/2`, ii) `costheta=1/sqrt(2)`, iii) `tantheta=sqrt(3)`, iv) `sectheta=2/sqrt(3)`, v) `cottheta=1/sqrt(3)`, vi) `"cosec"theta=sqrt(2)`

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AI Generated Solution

To find the general values of \( \theta \) for the given equations, we will solve each equation step by step. ### i) \( \sin \theta = \frac{\sqrt{3}}{2} \) 1. The sine function equals \( \frac{\sqrt{3}}{2} \) at specific angles. We know that: \[ \theta = \frac{\pi}{3} + 2n\pi \quad \text{and} \quad \theta = \frac{2\pi}{3} + 2n\pi \] ...
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