simplify (sinθ+cosθ)^2

2012-07-04 2:25 am

simplify (sinθ+cosθ)^2
how to do???

回答 (6)

2012-07-04 2:44 am

✔ 最佳答案

(sinθ+cosθ)^2
=(sinθ)^2+(cosθ)^2+2sinθcosθ
=1+2sinθcosθ

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2012-07-13 2:50 am

(sinθ+cosθ)^2

=(sinθ)^2 +2sinθcosθ +(cosθ)^2

=[(sinθ)^2 +(cosθ)^2]+sin(2θ)

=1 +sin(2θ)

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2012-07-06 8:43 pm

(sinθ+cosθ)^2
=sin^2θ+2sinθcosθ+cos^2θ
=2sinθcosθ+1

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2012-07-05 4:04 am

(sinθ+cosθ)^2
=sinθ^2 + cosθ^2 +2(sinθ)(cosθ)
=1+2sinθcosθ

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2012-07-04 6:32 am

sinθ^2 + cosθ^2 = 1
(a+b)^2 = a^2 + b^2 +2ab

所以問題:
(sinθ+cosθ)^2
=sinθ^2 + cosθ^2 +2*sinθ*cosθ
=1+2sinθcosθ

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2012-07-04 3:56 am

(sinθ+cosθ)^2
=(sinθ)^2+(cosθ)^2+2sinθcosθ
=1+sin(2θ)

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