Question

If sin θ = cos θ and 0° < θ <90°, then find the values of sin θ and cos θ.

Answer 1

Step-by-step explanation:

The only value of theta that satisfies here is 45° because sin45°=Cos45°=1√2.

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Answer 2

sin θ = cos θ

sin θ/cos θ = 1

tan θ = 1

tan 45° = tan θ

θ = 45°

then ,

• sin θ = sin 45° = ½
• cos θ = cos 45° = 1/√2