Question

Find the Tan7 theta+cot7 theta:-?​

Answer 1

Answer:

2

Step-by-step explanation:

Let tan theta be X

Therefore cot theta will be 1/X

Hence we can write

X + 1/X = 2

X^2 + 1 = 2X

X^2 - 2X + 1 = 0

(X - 1)^2 = 0

X - 1 = 0

X = 1

Since X = 1

Therefore 1/X = 1

Since X represent Tan theta

therefore

Tan theta = 1

Also

Cot Theta = 1

Hence Required Answer is

1^7 + 1^7 = 1 + 1 = 2