2 whole bracket sin 15 degree + sin 75 degree bracket close whole square
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Hi friend!!
Given,
2(sin15+sin75)²
We know that sin75=sin(90-15)=cos15
→2(sin15+cos15)²
=2(sin²15+cos²15+2sin15cos15)
we know that sin²A+cos²A=1 and 2sinAcosA=sin2A
→2(1+sin30)
we know that sin30=1/2
=2(1+1/2)
=2(3/2)
=3
I hope this will help you;)
Given,
2(sin15+sin75)²
We know that sin75=sin(90-15)=cos15
→2(sin15+cos15)²
=2(sin²15+cos²15+2sin15cos15)
we know that sin²A+cos²A=1 and 2sinAcosA=sin2A
→2(1+sin30)
we know that sin30=1/2
=2(1+1/2)
=2(3/2)
=3
I hope this will help you;)
YASHATTITUDE:
nice one thanks bro!!!
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