prove this: 2sec2theta -sec4theta-2cosec2theta+cosec4theta= cot4theta- tan4theta
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Step-by-step explanation:
2sec²θ - sec⁴θ - 2cosec²θ + cosec⁴θ
=> 2(1+tan²θ) - (1+tan²θ)² - 2( 1+cot²θ) + (1+cot²θ)²
//remember - sec²θ = 1+tan²θ; cosec²θ = 1+cot²θ
=> 2 + 2tan²θ - 1 - tan⁴θ - 2tan²θ - 2 - 2cot²θ + 1 + cot⁴θ+ 2cot²θ
=> cot⁴θ - tan⁴θ
=> R.H.S
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