Question:
prove that cosec square sec square = cosec square into sec square
Answer:
Given, cosec2 x + sec2 x
= 1/sin2 x + 1/cos2 x {since sin x = 1/cosec x and cos x = 1/sec x}
= (sin2 x + cos2 x)/(sin2 x * cos2 x)
= 1/(sin2 x * cos2 x) {since sin2 x + cos2 x = 1}
= 1/sin2 x * 1/cos2 x
= cosec2 x * sec2 x
So, cosec2 x + sec2 x = cosec2 x * sec2 x
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