Question

28. Find 0, if sin (0 + 36°) = cos 0.
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Answer 1

QUESTION:-

Find θ, if sin(θ+36°)=cosθ

ANSWER:

$\red\rightarrow\tt{sin(θ+36°)=cosθ}$

$\red\rightarrow\tt{sin(θ+36°)=sin(90°-θ)}$

$\red\rightarrow\tt{θ+36°=90-θ}$

$\red\rightarrow\tt{θ+θ=90°-36°}$

$\red\rightarrow\tt{2θ=54°}$

$\red\rightarrow\tt{θ=27°}$