Question

If tan + cot = 2 , then tan7 + cot7 is​

Answer 1

Answer: True

Step-by-step explanation: Correct option is

A

True

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