Question
Download Solution PDFयदि cot4θ + cot2θ = 3 है, तो cosec4θ – cosec2θ = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
cot4θ + cot2θ = 3
⇒ cos4θ/sin4θ + cos 2θ/sin 2θ
⇒ cos 2θ(cos 2θ+ sin 2θ )/sin4θ = 3 (ल.स.प. लेने पर)
⇒ cos 2θ/sin4θ = 3
⇒ cot2θ . cosec2θ = 3
अब, cosec4θ – cosec2θ
⇒ cosec2θ(cosec2θ – 1)
⇒ cosec2θcot2θ = 3
∴ cosec4θ – cosec2θ = 3
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