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(Solved): 1< Establish the identity (1-sin\theta )/(cos\theta )+(cos\theta )/(1-sin\theta )=2sec\theta . Wh ...
1<Establish the identity
(1-sin\theta )/(cos\theta )+(cos\theta )/(1-sin\theta )=2sec\theta . Which of the following shows the key steps in establishing the identity? A.
(1-sin\theta )/(cos\theta )+(cos\theta )/(1-sin\theta )=((1-sin\theta )^(2)+cos^(2)\theta )/(cos\theta (1-sin\theta ))=(2)/(sin\theta )=2sec\theta B.
(1-sin\theta )/(cos\theta )+(cos\theta )/(1-sin\theta )=((1+sin\theta )^(2)+cos^(2)\theta )/(cos\theta (1+sin\theta ))=(2\deg )/(sin\theta )=2sec\theta c.
(1-sin\theta )/(cos\theta )+(cos\theta )/(1-sin\theta )=((1-sin\theta )^(2)+cos^(2)\theta )/(cos\theta (1-sin\theta ))=(2(1-sin\theta ))/(cos\theta (1-sin\theta ))=2sec\theta D.
(1-sin\theta )/(cos\theta )+(cos\theta )/(1-sin\theta )=((1+sin\theta )^(2)+cos^(2)\theta )/(cos\theta (1+sin\theta ))=(2(1+cos\theta ))/(sin\theta (1+cos\theta ))=2sec\theta 