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Sin-cos= 0 then sin4 +cos4is

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Sin-cos= 0 then sin4 +cos4is

Posted by Riya Raj 6 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Appu Enterprises 6 years, 10 months ago

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

1Thank You

Appu Enterprises 6 years, 10 months ago

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

1Thank You

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