if sin teta + cos teta =square root of 2 then
sin teta × cos teta
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Answered by
3
Sin + cos = root2
Squaring both sides we get,
( Sin + cos) ² = 2
Sin² + cos² + 2 sin cos = 2
1 + 2 sin cos = 2
2 sin cos = 1
Sin cos = 1/2
Hope it helps you
Please mark it as brainlist
Squaring both sides we get,
( Sin + cos) ² = 2
Sin² + cos² + 2 sin cos = 2
1 + 2 sin cos = 2
2 sin cos = 1
Sin cos = 1/2
Hope it helps you
Please mark it as brainlist
Answered by
1
let theta be a to make the anser simple
sin a+cos a=√2
squaring both sides
sin^2a +cos^2a+2 sina cosa=2
1+ 2 sina cosa = 2
2 sina cosa =1
sina cosa =1/2
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