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  4. If sin β+ cos β=(5/4), then find the value of sin β. cos β.

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Q. If $\sin \beta+\cos \beta=\frac{5}{4}$, then find the value of $\sin \beta$. $\cos \beta$.

Trigonometry

Solution:

(i) By squaring on both the sides of the given equation we can obtain.
(ii) Square on both sides of $\sin \beta+\cos \beta=\frac{5}{4}$.