If cos²α + cos²β = 2, then the value of tan⁴α + sin⁸β is
cos²α + cos²β = 2 Put the value of α = β = 0⁰ cos² 0⁰ +cos² 0⁰ = 2 cos0⁰ + cos0⁰ = 2 1² + 1² = 2 2 = 2 ( it satisfies the equation) Now, tan⁴ α + sin⁵ β = tan⁴ 0⁰ + sin⁵0⁰ ⇒ 0 + 0 = 0
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