help.

2007-03-09 6:24 am
simplify the following expressions by using the trigonometric identities

[square root (1-sinθ)(1+sinθ)]/cos^2θ

回答 (2)

2007-03-09 6:34 am
✔ 最佳答案
(square root (1-sinθ)(1+sinθ)]/cos^2θ

square root (1-sinθ)(1+sinθ)]/1-sin^2θ

(1-sinθ)^1/2(1+sinθ)^1/2/)(1-sinθ)(1+sin^θ)

1/sqrt(1-sinθ)(1+sin^θ)

2007-03-08 22:37:29 補充:
following step:1/sqrt(cos^2θ)1/cosθsecθ
參考: 天凱(我自己)
2007-03-09 6:30 am
[square root (1-sinθ)(1+sinθ)]/cos^2θ
= [square root (1- sin^2θ)]/cos^2θ
= [square root (cos^2θ)]/cos^2θ
= cosθ/cos^2θ
= 1/cosθ
= secθ


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