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cos A 1 + sin A 1+ sin A cos A = 2 sec A...

cos A 1 + sin A 1+ sin A cos A = 2 sec A (11) tan 1-cot e (iii) cot = 1 + sec 1- tan cosec O [Hint: Write the expression in terms of sine and cose. (iv) 1+ sec A sin? A sec A. 1- cos A [Hint: Simplify left side and right side separately.] (v) By applying cosec-A = 1 + cot A cos A - sin A +1 = cosec A + cot A cos A + sin A -1 1+ sin A (vi) V1 - sin A = sec A + tan A sin 0 - 2 sine 2 cose - cos e = tan In

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sin A (1 + tan A) + cos A (1 + cot A) = sec A + cosec A .