Question

tan theta+cot theta=2,then find the value of tan² theta+cot²theta=?

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Answer 1

Step-by-step explanation:

tan theta+cot theta=2

now,( tan theta+cot theta) ^2=(2)^2

tan² theta+cot²theta +2=4

so, tan² theta+cot²theta=2

Answer 2

Assume that theta is A as I do not know how to type theta symbol(sorry for that)

tanA+cotA=2

Squaring both sides,

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

As tanA=1/cotA, tanA×cotA=1

So the equation becomes,

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

tan^2A+cot^2A=2