Question

tanQ+cotQ=2..find tan^2Q+cot^2Q​

Answer 1

Answer:

answer will be 2

Step-by-step explanation:

given,

tanQ+cotQ=2

squaring both sides of the equation we get,

(tanQ+cotQ)^2=4

or, tan^2Q+cot^2Q+2tanQcotQ=4

since cotQ=1÷tanQ

so, tan^2Q+cot^2Q+2tanQ×1/tanQ=4

or, tan^2Q+cot^2Q+2=4

or, tan^2Q+cot^2Q=4-2=2

or, tan^2Q+cot^2Q=2