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Trigonometry 8.4 5(5)

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Trigonometry 8.4 5(5)

    • Posted by Sankar Sss 2 years, 6 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sumit Yadav 2 years, 6 months ago

    (v) (cos A – sin A + 1) / (cos A + sin A – 1) = cosec A + cot A using the identity cosec2A = 1 + cot2A Solving LHS Multiplying numerator and denominator by (cot A – 1 + cosec A) = (cot2A + 1 + cosec2A – 2*cot A – 2*cosec A + 2*cot A*cosec A) / (cot2A – (1 + cosec2A – 2*cosec A)) = (2*cosec2A – 2*cot A – 2*cosec A + 2*cot A*cosec A) / (cot2A – 1 – cosec2A + 2*cosec A)  = (2* cosec A *(cosec A + cot A) – 2*(cosec A + cot A)) / (cot2A – 1 – cosec2A + 2*cosec A) = ((cosec A + cot A) * (2*cosec A – 2 )) / (2*cosec A – 2)  = cosec A + cot A = RHS Hence Proved

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