Apfchuilol1z Apfchuilol1z
  • 25-11-2016
  • Mathematics
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Use the fundamental identities to simplify the expression. There is more than one correct form of the answer.
7 sec^2 x(1 − sin^2 x)

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MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 26-11-2016
The fundamental identities that are useful are

Pythagorean relations: cos^2 x + sin^2 x = 1
Inverse trigo identity: cos x = 1/secx

Applying the pythagorean theorem, the equation would be:
7sec^2 x(cos^2 x)
Then applying the inverse trigo identity, the answer would be 7.

Thus, the final answer is 7.
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