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Prove the following identity: tan(x) + cot(x) = sec(x)csc(x)?

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asked Nov 26, 2014 in TRIGONOMETRY by anonymous

1 Answer

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Given identity : tan(x) + cot (x) = sec(x)csc(x)

Start from Left Hand Side

= tan(x) + cot (x)

Substitute : image

image

Rewrite the expression with common denominator.

image

image
Substitute : sin²(x)+cos²(x) = 1

image

image

Substitute : 1/ cos(x)  = sec(x)   and   1/sin(x) = csc(x)

= sec(x)csc(x)

Solution :

Trigonometric Identity  tan(x) + cot (x) = sec(x)csc(x) is proved.

answered Nov 26, 2014 by Shalom Scholar

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