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If 15 tan^2A + 4 sec^2A=23 then find the valie of (secA + cosecA)^2 - sin^2​

Answer» 15/2Explanation:tan^2A+1=sec^2A=tan^2A = sec^2A-1GIVEN: 15tan^2A+4sec^2=23= 15 (sec^2A - 1) + 4sec^2A=23= 19sec^2A - 15 =23=19sec^2A=38= sec^2A = 2SecA= ROOT 2Hypotenuse =root 2Opp SIDE = 1Adj side =1CosecA=root 2 ; SinA=1/2So; (secA+CosecA)^2-Sin^2A =(root 2+ root 2)^2 - 1/2 =(2× root 2)^2-1/2 =8-1/2 =15/2


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