Question

How to prove that tan(80) is equal to sin(160) / 1 + cos(160)?

Answer 1

Answer:

tan(80)=sin(160)/1+cos(160)

{1+cos©=2cos^2(©/2)}

tan(80)= sin 160/ 2cos^2(80)

tan80= 0.34/0.06 { sin160= 0.34

and cos80= 0.06}

L.H.S= tan 80 = 5.67

R.H.S= 0.34/0.06 = 5.67

L.H.S. = R.H.S.

So, Hence proved.

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