Sin x+cos x=1/2 Найдите sin^4 x+cos^4 x

Question

Sin x+cos x=1/2
Найдите sin^4 x+cos^4 x

Answer 1

I hope this helps you

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Comments

Sin^4x + Cos^4x никак не может равняться отрицательному числу

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aa i did a mistake thanks :)

Answer 2

(Sinx + Cosx)² = (1/2)²
Sin²x + 2SinxCosx + Cos²x = 1/4
1 + 2SinxCosx = 1/4
2SinxCosx = - 3/4
4Sin²xCos²x = 9/16
2sin²xCos²x = 9/32
(Sin²x + Cos²x)² = Sin⁴x + 2Sin²xCos²x + Cos⁴x
1 = Sin⁴x + 2Sin²xCos²x + Cos⁴x
Sin⁴x + Cos⁴x = 1 - 9/32
Sin⁴x + Cos⁴x = 23/32