SOLUTION: simplify 4cos^2\theta +4sin^2\theta

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Question 1201685: simplify 4cos^2\theta +4sin^2\theta
Answer by math_tutor2020(3817) About Me  (Show Source):
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Answer: 4

Work Shown:

4cos%5E2%28theta%29+%2B+4sin%5E2%28theta%29

4%28cos%5E2%28theta%29+%2B+sin%5E2%28theta%29%29

4%281%29 use pythagorean trig identity

4

Therefore,
4cos%5E2%28theta%29+%2B+4sin%5E2%28theta%29=4
is a trig identity.
It is true for all real numbers.