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Solution !
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from LHS
sec¢ + tan¢ = p ________(1)
1/sec¢ + 1/tan¢ = 1/p
multiplying by sec¢ - tan¢ on numerator and denominator .
then , sec¢ - tan¢ / sec²¢ - tan²¢ = 1/p
sec¢ - tan¢ = 1/p ___________(2)
adding both equation .
sec¢ - tan¢ + sec¢ + tan¢ = (1/p + p)
2sec¢ = p² + 1/p ___________(3)
again. substracting 2 from 1
sec¢ + tan¢ -( sec¢ - tan¢) = p - 1/p
2tan¢ = p² - 1/p _______(4)
dividing (4) to (3)
2tan¢ /2sec¢ = p² -1 /p² + 1
sin¢ = p² -1 /p² + 1
Hence , here prooved LHS = RHS
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