If the point P(pi,2) lies on the graph of h(theta) = a sin(theta - pi/6) -2, then the value of a is

Question

Need help asap

Answer 1

h(θ) = a sin(θ - π/6) - 2

 

Plug in 

 

θ = π

h = 2

 

and solve for a.

 

2 = a sin(π - π/6) - 2

 

4 = a sin(5π/6)

 

a = 4 / sin(5π/6)