Test:328 QNo:2

If tanθ = 1/√7 , the value of (cosec2θ - sec2θ)/(cosec2θ + sec2θ) is closest to

3 Answers

1
Honey Arora ·

(cosec2θ - sec2θ)/(cosec2θ + sec2θ)=3/4

11
virang1 Jhaveri ·

sin θ = 1k
Cosθ = k√7
(1/Sin2θ - 1/cos2θ)/(1/Sin2θ + 1/cos2θ)
(1/k2 - 1/ 7k2)(1/k2 + 1/ 7k2
(7-1/7)/ (7+1)/7
6/8
=3/4

1
Honey Arora ·

sec2θ-tan2θ=1
secθ=2√2/7
cosθ=√7/2√2
sin2θ+cos2θ=1
sinθ=1/2√2
cosecθ=2√2
solving we get 3/4

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