Question

If sin theta-cos theta = 0,then the value of (sin4 theta + cos4 theta) is

Answer 1

Hey there !!!!!!

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sinθ-cosθ = 0

sinθ= cosθ

sinθ/cosθ = 1

tanθ = 1

Bu tan45 = 1

So,

tanθ=tan45

θ = 45°

sin45 = 1/√2  cos45 = 1/√2

sin⁴θ+cos⁴θ  = (1/√2)⁴+(1/√2)⁴

                      = 1/4+1/4 = 2/4 = 1/2 = 0.5

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Hope this helped you..................

Answer 2

Hi

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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