Prove that $sin^2 theta(1+cot^2 theta)-1=0$ ?

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Answer 1 · 2016-10-31T17:21:25

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$sin^2 theta(1+cot^2 theta)-1=0$

Left Side: $=sin^2 theta(1+cot^2 theta)-1$

$=sin^2 theta csc^2 theta-1$

$=sin^2theta *1/sin^2 theta -1$

$=cancel (sin^2 theta) *1/cancel (sin^2 theta) -1$

$=1-1$

$=0$

$:. =$ Right Side

Prove that sin^2 theta(1+cot^2 theta)-1=0sin^2 theta(1+cot^2 theta)-1=0?