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ML Aggarwal Solutions Class 10 Mathematics Solutions for Trigonometric Identities Exercise 18 in Chapter 18 - Trigonometric Identities
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cosec4 θ – cosec2 θ = cot4 θ + cot2 θ
Answer:
Solution:
Here we can apply the identity 1+ cot2 θ = cosec2 θ
L.H.S. = cosec4 θ – cosec2 θ
= cosec2 θ (cosec2 θ – 1)
= cosec2 θ cot2 θ [cosec2 θ – 1 = cot2 θ]
= (cot2 θ + 1) cot2 θ
= cot4 θ + cot2 θ
= R.H.S.
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