show that sin35/cos55 whole square -2cos square 60=1/2
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Step-by-step explanation:
show that (sin35/cos55)^2-2cos^2 60=1/2
LHS:
(sin35/cos55)^2-2cos^2 60....(1)
we know that sinx=cos(90-x)
that is sin 35=cos(90-35)=cos55
so sin35/cos55=1...(2)
And cos 60=1/2
squaring on both sides
cos^2(60)=1/4
2*cos^2(60)=2*1/4=1/2...(3)
substitute (2) and (3) in (1)
we get
1-1/2=1/2=RHS
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