Question

If q is an acute angle such that tan theta = 2 then the value of cos 40 is

Answer 1

Question:-

If q is an acute angle such that tan theta = 2 then the value of cos 40 is

Answer:-

Answer

tanθ+cotθ=2

tanθ+

tanθ

1

=2

tanθ

tan

2

θ+1

=2

tan

2

θ−2tanθ+1=0

(tanθ−1)

2

=0

tanθ=1

θ=45

0

Therefore,

tan

7

θ+cot

7

θ=tan

7

45

o

+cot

7

45

o

=1+1=2