Trigonometric EquationHard
Question
In a DPQR, if 3 sinP + 4 cosQ = 6 and4 sinQ + 3 cos P = 1, then the angle R is equal to:
Options
A.
B.
C.
D.
Solution
3sinP + 4cosQ = 6 ..... (1)
4sinQ + 3cosP = 1 ..... (2)
Squaring (1) and (2). Then adding
9 + 16 + 24sin(P + Q) = 37
⇒ 24sin (P + Q) = 12
⇒ sin(P + Q)
⇒ sinR
∴
But
does′t satisfy the given equation so 
4sinQ + 3cosP = 1 ..... (2)
Squaring (1) and (2). Then adding
9 + 16 + 24sin(P + Q) = 37
⇒ 24sin (P + Q) = 12
⇒ sin(P + Q)
⇒ sinR ∴
But
does′t satisfy the given equation so Create a free account to view solution
View Solution FreeMore Trigonometric Equation Questions
If tan θ + tan4θ + tan7θ = tan θ tan4θ tan7θ, then θ =...If f(x) = (2x - π)3 + 2x - cosx, then (f-1 (x)) at x = π is equal to -...If f(x) = cos-1 + xx then at x = 1, f ′(x) is equal to...Total number of solution of the equation 3x + 2tan x = in x ∈ [0, 2π] is equal to-...The value of sin sin is :-...