a prob from rd sharma

If tanÎ¸2=âˆš1-eâˆš1+etanÎ±2,then cos Î±=?

Plz show the steps also along with the solution....

2 Answers

tanÎ±2=√1+e√1-etanÎ¸2

or, tan²Î±2=1+e1-etan²Î¸2

or, 1-tan²Î±21+tan²Î±2=1-1+e1-etan²Î¸21+1+e1-etan²Î¸2

giving cos Î± = 1-1+e1-etan²Î¸21+1+e1-etan²Î¸2 simplify yourself!! :P

Thank you,my friend.I then proceeded after the hint u gave me and got the answer as

cosÎ¸-e1-ecosÎ¸.

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