Question

If sino=3/5 and cose= 4/5find the value of sin^theta +cos^theta
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Answer 1

$\underline{\underline{\LARGE{\orange{\mathsf{Solution}}}}}$

Given that,

Sinθ = $\Large{\frac{3}{5}}$

Cosθ = $\Large{\frac{4}{5}}$

∴ sin²θ = $\Large{\frac{(3)^2}{(5)^2}}$

sin²θ = $\Large{\bold{\frac{9}{25}}}$

∴ cos²θ = $\Large{\frac{(4)^2}{(5)^2}}$

∴ cos²θ = $\Large{\bold{\frac{16}{25}}}$

Answer 2

$\huge{\mathcal{\blue{\underline{Answer}}}}$

$= \sin( \alpha ) + \cos( \alpha ) \\ = \frac{3}{5} + \frac{4}{5} \\ = \frac{3 + 4}{5}$

$\huge{\mathcal{\blue{\underline{7/5}}}}$