Q. 42 E4.7( 3 Votes )

Find the value of

sec A. tan A+tan2A – cosec A, if tan A =2

Answer :

Given: tan A = 2 tan2A = 4

We know that, sec2 A = 1+ tan2A

sec2 A = 1 + 4

sec2 A = 5

sec A =5

Now, we know that tan A

2 =√5 sin A

Now, putting all the values in the given equation, we get

sec A. tan A+tan2A – cosec A

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