Table of Contents
Trigonometry jee
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11. If 7sinθ + 24 cosθ = 25, then what is the value of (sinθ + cosθ) ?
12. A ladder 6m long reaches a point 6 m below the top of a vertical flagstaff. From the foot of the ladder, the elevation of the top of the flagstaff is 75°. What is the height of the flagstaff ?
(a) 8m (b) 10 m (c) 12m (d) 15m
14. If 3cosθ = 4sinθ, then what is the value of tan(45° + θ)?
(a) x ∈ R
(b) X ∈ R – (- 1,1) only
(c) x ∈ R {0} only
(d) x ∈ R-{-1,1} only
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22. In triangle ADC if a = 2, b = 3 and sin A = 2/3, then what is angle B equal to ?
(a) π/4 (b) π/2 (c) π/3 (d) π/6
23. What is the principal value of
(a) π/4 (b) π/2 (c) π/3 (d) 2π/3
24. If x, x – y and x + y are the angles of a triangle (not an equilateral triangle) such that tan (x – y), tan x and tan (x + y) are in GP, then what is x equal to ?
(a) π/4 (b) π/3 (c) π/6 (d) π/2
26. If a flag-staff of 6 m height placed on the top of a tower throws a shadow of
along the ground, then what is the angle that the sun makes with the ground?
(a) 60⁰ (b) 45° (c) 30° (d) 15°
(a) α = π – β (b) α = π + β
(c) α = 2π- β (d) 2α = π + 2β
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