यदि है, तब:

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 3)

Answer 1

दिया गया है:

tan² θ + tan⁴ θ = 1

प्रयुक्त अवधारणा:

tan2 θ + 1 = sec² θ

गणना:

⇒ tan2 θ + tan4 θ = 1

⇒ tan2 θ (1 + tan2 θ) = 1

⇒ tan2 θ × sec² θ = 1

⇒ tan2 θ = 1/sec² θ = cos² θ

अब tan² θ का मान समीकरण में रखने पर:

⇒ tan2 θ + tan4 θ = 1

⇒ tan2 θ + (tan²)² θ = 1

⇒ cos2 θ + (cos²)² θ = 1

⇒ cos² θ + cos⁴ θ = 1

∴ सही विकल्प 2 है।

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