Question

2. If sec theta + tan theta = 2, then find the value of sec5 theta + tan5 theta .
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Answer 1

Answer:

θ

Answer

secθ−tanθ=0−(i)

we know that sec

2

θ−tan

2

θ=1

secθ+tanθ=

secθ−tanθ

1

=

5

1

−(ii)

Adding (i) & (ii) gives

2secθ=5+

5

1

2secθ=

5

26

secθ=

5

13

cosθ=

13

5

θ=cos

−1

(

13

5

)