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If sec theta + tan theta = P find value of cosec theta |
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Answer» LHS1/cosA + sinA/cosA =p1+sinA/cosA =p1+sinA=pcosA1+sinA=p√1-sin sqA Squaring both side(1+sinA )sq = p sq. (1 -sin sq.A)(1+sinA) (1+sinA) =p sq. (1-sin sq.A)(1+sinA) (1+sinA)/(1-sinA)(1+sinA) =p sq. {:.a sq.+b sq =(a+b)( a-b)}(1+sinA)/(1-sinA) = p sq.(1+sinA) =p sq.( 1 - sin A) 1 + sinA = p sq. -p sq sinASinA + p sq.sinA = p sq-1 sin A (1 + p sq.) = p sq-1 Sin A = (p sq. -1)/(p sq+1) CosecA = (p sq.+1) / (p sq.-1) {sinA = 1/ cosecA} H.P SecA+tanA =p |
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