please help, show me steps ??
(1-cos^2 theta)(1+cot^2 theta)=
sin^2(theta) csc^2(theta)
= sin^2(theta) / sin^2(theta) = 1
Note that 1- cos^2(theta) = sin^2(theta)
Note that 1 + cot^2(theta) = 1 + cos^2(theta)/sin^2(theta)
= 1/sin^2(theta)
Hence (1-cos^2 theta)(1+cot^2 theta)
= sin^2(theta) * 1/sin^2(theta)
= 1
(1-cos^2 theta)(1+cot^2 theta)
= sin^2 theta csc^2 theta
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Attn: sinx cscx = 1
Comments
(1-cos^2 theta)(1+cot^2 theta)=
sin^2(theta) csc^2(theta)
= sin^2(theta) / sin^2(theta) = 1
Note that 1- cos^2(theta) = sin^2(theta)
Note that 1 + cot^2(theta) = 1 + cos^2(theta)/sin^2(theta)
= 1/sin^2(theta)
Hence (1-cos^2 theta)(1+cot^2 theta)
= sin^2(theta) * 1/sin^2(theta)
= 1
(1-cos^2 theta)(1+cot^2 theta)
= sin^2 theta csc^2 theta
= 1
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Attn: sinx cscx = 1