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kramer
3 years ago
14

Sec x tan x (1-sin^2 x) = __x I need help solving this I have no idea.

Mathematics
1 answer:
Marat540 [252]3 years ago
4 0
Recall that secx is the reciprocal of cosx.
Also, recall the property:
cos^{2}x + sin^{2}x = 1

\therefore cos^{2}x = 1 - sin^{2}x

Thus, we can rewrite the equation as:
secx tanx (1 - sin^{2}x) = secx tanx cos^{2}x
= tanx cosx
= \frac{sinx}{cosx} \cdot cosx
= sinx
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