State whether the given statement is true or false:
cot(90-θ) = tan θ
True
False
Consider the right angled ΔABC in the figure below tanθ=ACABcot∠ACB=ACAB∴cot∠ACB=tanθBut, ∠ACB+θ+90∘=180∘⇒∠ACB=90∘−θ.∴cot(90−θ)=tanθ
State true or false. The value of expression tan θ−cot θ at θ=30∘ is 1.