Question

prove that ➡(sin35/cos55)²+[cos55/sin35]²-2cos60=1​

Answer 1

Answer:

(sin35/cos55)²+(cos55/sin35)²-2cos60

=[cos(90-35)/cos55]²+[cos55/cos(90-35)]²-2cos60

=(cos55/cos 55)²+(cos55/cos 55)²-2cos60

=1+1-2×1\2

=1+1-1

=1

Answer 2

Answer:-

L.H.S

=[sin 35/sin(90-55)]²+[cos 55/cos(90-35)]²-2 cos 60

=[sin 35/sin35]²+[cos 55/cos 55]²-2 (1/2)             {∵ cos 60°=1/2}

=[1]²+[1]²-1

=2-1

=1

L.H.S =R.H.S

HENCE PROVED

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