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Prove that if sina + cosa =2 then prove that sin⁴A+cosec⁴A =2PLS I NEED THE ANSWER QUICKLY . FIRST ONE TO ANSWER WILL BE MARKED BRAINLIEST |
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Answer» it seems that the question has a flaw instead of it should be sin a + cosec a = 2 I am PROCEEDING to SOLVE taking this as correct sin a + cosec a = 2 SQUARING both side (sin a + cosec a )^2 = 2^2 sin^2 a + cosec^2 a + 2 sin a cosec a = 4 sin^2 a + cosec ^2 a + 2 sin a * 1/ sin a = 4 sin^2 a + cosec ^2 a + 2 = 4 sin^2 a + cosec ^2 a = 4 - 2 sin^2 a + cosec ^2 a = 2 again squaring both side (sin^2 a + cosec^2 a )^2 = 2^2 (sin^2 a)^2 + (cosec^2 a)^2 + 2 sin^2 a cosec^2 a = 2^2 sin^4 a + cosec^4 a + 2 = 4 sin^4 a + cosec^4 a = 4 - 2 sin^4 a + cosec ^2 a = 2 proved |
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