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ICSE Class 10 Answered

prove that: sin^3/cosA + sinAcosA = tanA
Asked by Vru23 | 28 Jul, 2020, 11:18: PM
answered-by-expert Expert Answer
To prove: sin3A/cosA + sinAcosA = tanA

LHS equals fraction numerator sin cubed straight A over denominator cosA end fraction plus sinA space cosA equals fraction numerator sin cubed straight A over denominator cosA end fraction plus fraction numerator sinA space cos squared straight A over denominator cosA end fraction equals fraction numerator sin cubed straight A plus sinA space cos squared straight A over denominator cosA end fraction equals fraction numerator sinA open parentheses sin squared straight A plus cos squared straight A close parentheses over denominator cosA end fraction equals sinA over cosA equals tanA equals RHS Hence comma space fraction numerator sin cubed straight A over denominator cosA end fraction plus sinA space cosA equals tanA
Answered by Renu Varma | 29 Jul, 2020, 10:38: AM

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