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Use the fundamental identities to simplify the expression.

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There is more than one correct form of the answer. 9 sec^2 x(1 − sin^2 x)?

asked Aug 30, 2014 in TRIGONOMETRY by anonymous

1 Answer

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The trigonometric expression is 9 sec2 x (1 - sin2x)

Apply pythagorean identity 1 - sin2 x = cos2 x

9 sec2 x (1 - sin2x) = 9 sec2 x(cos2 x)

Apply reciprocal identity cosx = 1/ secx

= 9 sec2 x(1/sec2 x)

= 9

answered Aug 30, 2014 by david Expert

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