Question

if tan theta-cot theta =23
find tan^2 theta + cot ^2 theta​

Answer 1

Step-by-step explanation:

tan - cot =23

let tan =x then we get

tan - 1/tan =23

x-1/x=23

on squareing both side

(x-1/x)²=23²

x²+1/x²-2•x•1/x=529

x²+1/x²-2=529

x²+1/x²=531

tan²+1/tan²=531

tan²+cot²=531

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