Question

if sec ø+ tanø=2 then find the value of sec⁵ø+tan⁵ø​

Answer 1

Step-by-step explanation:

Answer

secθ+tanθ=2⟶(1)

Now, sec

2

θ−tan

2

θ=1

⇒(secθ−tanθ)(secθ+tanθ)=1

⇒2(secθ−tanθ)=1

⇒secθ−tanθ=

2

1

⟶(2)

Adding equations (1)&(2), we get

⇒2secθ=2+

2

1

=

2

5

⇒secθ=

4

5

Or cosθ=

5

4

Now, sinθ=

1−cos

2

θ