Question

If 4sin theta – 4cos theta = 0, find the value of theta.​

Answer 1

${\huge{\star{\underbrace{\tt{\red{Answer}}}}}}{\huge{\star}}$

$\Large{\blue{\tt{\underline{\underline{Given \ :-}}}}}$

$4 \sin\theta \: - \: 4 \cos\theta \: = \: 0$

$\Large{\green{\tt{\underline{\underline{To \ find \ :-}}}}}$

${\tt{\bold{• \ Value \ of \ \theta}}}$

$\Large{\orange{\tt{\underline{\underline{Solution \ :-}}}}}$

${\sf{↣ \ 4 \sin\theta \: - \: 4 \cos\theta \: = \: 0}}$

${\sf{↣ \ 4 (\sin\theta \: - \: \cos\theta )\: = \: 0}}$

${\sf{ ↣ \ \sin\theta \: - \: \cos\theta \: = \: 0}}$

${\sf {↣ \ \sin\theta \: = \: \cos\theta}}$

${\bf{\large{We \ know \ that}}}$

${\sf{⟹ \ sin45° \ = \ cos45°}}$

Hence, by comparing

${\sf{\theta{= \ 45°}}}$

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