Question
There are six persons viz. W, X, Y, Z, A and B; all are
of different heights but not necessarily in the same order. X’s height is 180 cm and he is taller than W, whose height is 172 cm but shorter than A, whose height is 194 cm. B’s height is 155 cm and he is taller than Y, whose height is 148 cm but shorter than Z, whose height is 167 cm. W is taller than Z. Who is the shortest among all?Solution
If 0 ≤ θ ≤ 90°, and sin(2 θ +50°) = cos (4 θ + 16°), then what is the value of θ (in degrees)?
sin10˚ x sin20˚ x sin40˚ =?
If (2sin A + cos A) = 3sin A, then find the value of cot A.
If tan 4θ = cot 14θ, then find the value of cos 9θ.
If sin A = 3/5 and cos B = 4/5, where A and B are acute angles, find the value of sin(A + B).
If √3cosec 2x = 2, then the value of x:
If tan θ + cot θ = 2 where 0 < θ < 90 ; find the value of tan30 θ + cot 29 θ.
- If sin (3A − 4B) = (1/2) and cos (A + B) = (√2/2), where 0° < A, B < 90°, then find the value of ‘A’.
If θ is an acute angle and sin θ + cosec θ = 2, then the value of sin2 θ + cosec2 θ is: