If sinθ – cosθ = 0, then the value of (sin4 θ + cos4 θ) is
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Sin theta - Cos theta = 0
Sin45° - Cos45° = 0
then
Sin⁴theta + cos⁴theta
= sin⁴45° + cos⁴45°
= (1/√2)⁴ + (1/√2) ⁴
= 1/4+ 1/4
= 2/4
= 1/2
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