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Comment upon $$\gamma$$

Let $$\alpha,\beta$$ and $$\gamma$$ be the angles of a triangle with $$\alpha, \beta \in \left(0,\frac{\pi}{2}\right)$$ satisfying $$\sin^{2} \alpha+\sin^{2} \beta=\sin \gamma$$, what can you say about $$\gamma$$?

Rather, if you can then find the range of $$\gamma$$.

Note by Akshat Sharda
7 months ago

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but how is it possible

- 5 months, 4 weeks ago

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Did you try to simplify it to obtain $$\displaystyle \tan\left(\dfrac{\gamma}{2}\right)=\cos(\alpha-\beta)$$ ?

- 7 months ago

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