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Vikki [24]
3 years ago
6

Is sinx cosx ever equal to 1?

Mathematics
1 answer:
Taya2010 [7]3 years ago
7 0
From Pythagorean Identities <span><span><span>sin^2</span>x</span>+<span><span>cos^2</span>x</span>=1</span>
and from that identities we can have <span><span>sinx</span>+<span>cosx</span>=1</span>, taking <span><span>sinx</span>=1−<span>cosx</span></span> and substitute in the equation
<span><span>sinx</span>+<span>cosx</span>=1</span>
<span><span>(1−<span>cosx</span>)</span>+<span>cosx</span>=1</span>
Remove the parenthesis
<span>1−<span>cosx</span>+<span>cosx</span>=1</span>
cancel <span>cosx</span>
<span>1=1</span>

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