Question

find the value of theta if sin theta = cos theta
​

Answer 1

Answer:

=45°

Step-by-step explanation:

sin \theta = cos\thetasinθ=cosθ

\implies sin\theta = sin (90 - \theta)⟹sinθ=sin(90−θ)

/* We know that ,

Sin(90-A) = cosA */

\implies \theta = 90 - \theta⟹θ=90−θ

\implies \theta + \theta = 90⟹θ+θ=90

\implies 2\theta = 90\degree⟹2θ=90°

\implies \theta = \frac{90}{2}⟹θ=

2

90

\implies \theta = 45\degree⟹θ=45°

Therefore,

\theta = 45\degreeθ=45°

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Answer 2

sin θ = cos θ

sin θ/cos θ = 1

tan θ = 1

tan 45° = tan θ

θ = 45°