Question

. If sin 0 + cos 0 = cos 0, 0 = 90°) then the value
of tan o is:
(a) V2 - 1 (b) 3 + 1
(c) V2
(d) - 2​

Answer 1

Answer:

24. (4)sinθ+cosθ=2–√cos(90∘ −θ) ⇒sinθ+cosθ=2–√sinθ On squaring, cos2θ+sin2θ+2cosθ⋅sinθ=2 sin2θ ⇒cos2θ=sin2θ−2cosθ.sin On dividing by sin2θ cot2θ=1−2cotθ ⇒cot2θ+2cotθ−1=0 ∴cotθ = −2±4+4√−2±22√2=2–√−1 or, −(2–√+1)