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Prove the following identity: `(1 + cos(x))/sin(x) + (sin(x))/(1+cos(x)) = (2)/(sinx)`
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High School Teacher
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We'll start from the left side and manipulate it until we get the right side. First, we get a common denominator as follows:
` ` Now `(1+cosx)^2=1+2cosx+cos^2x,` and if we add the fractions we get
But `cos^2x+sin^2x=1,` so the last fraction is equal to
which completes the proof.
Posted by degeneratecircle on July 28, 2013 at 1:56 AM (Answer #1)
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