If tan 0 + sin 0 = m, tan 0 - sin 0 = n, then 4mn =
(A) 4 tan o sin e
(B) 4
(C) 4 tane
(D) 4 sin e
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Answer: 4 Tane
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Answer:
4 tan²θ sin²θ
4 tan²θ sin²θ= (2tanθsinθ)²
Step-by-step explanation:
4 (tanθ + sinθ) ( tanθ - sinθ)
= 4(sin²θ/cos²θ - sin²θ)
= 4 ( sin²θ-sin²θ cos²θ / cos²θ)
= 4 (sin²θ(1-cos²θ) /cos²θ)
= 4 ( sin⁴θ/cos²θ)
= 4 tan²θ sin²θ
= (2tanθsinθ)²
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