Question

Given that tan A+ cot A=2 then find tan ^2A+cot ^2A​

Answer 1

Answer:

Hey mate here is your answer

Squaring on both sides, we get

tan^2A + cot^2A + 2× tanA × cot A = 4

tan^2A + cot^2A = 4-2

tan^2A + cot^2A = 2

hope it will help you

Answer 2

Step-by-step explanation:

Given, tan A + cotA = 2

(tanA + cot A)^2=(2)^2. { on squaring both sides}

tan^2A+cot^2A+2tanAcotA=4

tan^2A +cot^2A +2=4. { since tan * cot = 1}

tan^2A + cot^2A= 2

Hence, the value of tan^2A + cot^2A is 2