Solve the following equation for θ where 0∘≤θ<180∘. tan(−2θ+46∘)=cot(−2θ+96∘)

Answer 1

Using complementary angle identity:

If A+B = 90^∘, then tan(A) = cot(B)

Therefore:

−2θ+46^∘ −2θ+96^∘ = 90^∘

-4θ + 142^∘ = 90^∘

-4θ = 90^∘ - 142^∘

-4θ = -52^∘

θ = 13^∘