If a tan0 = b,then a cos 20 +bsin 20 =
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a tan 20 =b
or, tan 20= b/a
so, height= b
base= a
hypotenuse=√(b²+a²)
cos20=a/√(b²+a²)
sin 20 = b/√(b²+a²)
a cos 20 + b sin 20
= a²/√(b²+a²) +b²/√(b²+a²)
= (a²+b²)/√(b²+a²)
=√(b²+a²)
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