prove tan^1 (5/12)+cosec^1(5/√2)+tan^1(16/63)=π\4
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Therefore domain of cos-1 (x2 – 4) is [- √5, – √3] ∪ [√3, √5]. 2. ... We know that for any x ∈ R, tan-1 represents an angle in (-π/2, π/2) whose tangent is x. So, tan-1 (1/√3) ... (2/√3). (iv) cosec-1 (2 cos (2π/3)) ... (ii) Given Sec {cot-1 (-5/12)} ... If cos-1 (x/2) + cos-1 (y/3) = α, then prove that 9x2 – 12y cos α + 4y2 = 36 sin2 α.
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