If Sin + cos = 2 …

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If Sin + cos = 2 , find sin^8 + cos^8

Posted by Pratyaksh Jain 10 months, 4 weeks ago

CBSE > Class 10 > Mathematics

1 answers

Aneek Bera 10 months, 3 weeks ago

Squaring both side we get sin²+cos²+2sincos=4 Sincos=3/2 A.T.C (Sin⁴+cos⁴)²-2sin⁴cos⁴ =[(sin²+cos²)²-2sin²cos²]²-3⁴ =(1-9)²-81 =64-81 =-17

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