Sin (45 + θ) – Cos (45 – θ) is:

If a=tanθ + 1 and b=sinθ+cosθ then find (b²-1)a=?

If cosec θ=1.25 then $$ {4 \ tanθ-5 \ cosθ + 1\over secθ+ 4cotθ-1}=?$$

If 2sinθ+ 15 cos²θ=7, 0°˂θ˂90°, then what is the value of $$ {3-tanθ\over 2+tanθ}$$?

(sec A + tan A – 1) (sec A – tan A+1) =?

The value of $$ {tan\ 40°+tan\ 20° +\sqrt{3}\ tan20° tan40°}$$?

If $$ {Acos^{2}θ+Bsin^{2}θ}={sin^{2}θ(sec^{2}θ+1)\over{sec^{2}θ-1}}$$ and cotθ=?

If sin²a = cos³a then the value of cot⁶ a – cot²a?