Problem 87 of 7
Simplify trig expression 1-sin^2(theta) using the Pythagorean identity.
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replace sin^2+cos^2 with 1.
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Expression must contain sin^2(theta)+cos^2(theta) or rearranged identity form.
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Solution
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1. Locate a form of sin^2(theta)+cos^2(theta)=1.
2. Substitute or rearrange the identity.
3. Simplify scalar multiples or remaining terms.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Replacing sin+cos with 1 when terms are not squared.