if sinx + cosx = 1 , then find the value of sinx cosx
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Answered by
26
sinx + cosx = 1
take square both sides,
sin²x + cos²x + 2sinx.cosx = 1
we know,
sin²x + cos²x = 1
1 + 2sinx.cosx = 1
sinx.cosx = 0
take square both sides,
sin²x + cos²x + 2sinx.cosx = 1
we know,
sin²x + cos²x = 1
1 + 2sinx.cosx = 1
sinx.cosx = 0
Answered by
14
(sins+cosx)² = sin²x + cos²x + 2.sins.cosx
(1)² = 1 + 2.sins.cosx
1 -1 = 2.sinx.cosx
sins.cosx = 0/2 = 0
(1)² = 1 + 2.sins.cosx
1 -1 = 2.sinx.cosx
sins.cosx = 0/2 = 0
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