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Find sin 2a if sin a+ cos a=1....
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sin^2 + cos^2 = 1
(sin+ cos)^2 -2sin cos = 1
1- sin2a = 1
sin2a = 0
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Answered by
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Answer:
The value of sin 2a= 0
Step-by-step explanation:
Given that sin a + cos a=1
squaring both sides, =
(sin a+ cosa)²= 1²
=>sin²a + cos ²a + 2 sin a cos a =1
Also we know that
sin² theta + cos ²theta = 1
Let theta = a
So now the equation becomes:-
1 + 2sinacosa=1
=> 2 sin a cos a =1-1=0. ---------(1)
From NCERT Book we have got that
2sin a cos a = sin 2a
Hence from (1) , we get that:-
sin 2a = 0
Hence the value of sin 2a = 0.
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