Find the amplitude and period: g(t) = - 7 cos (3 pi t/4) Find two angles t, 0 de

Question

Find the amplitude and period: g(t) = - 7 cos (3 pi t/4) Find two angles t, 0 degree lessthanorequalto t lessthanorequalto 360 degree, satisfying sin t = -0.5 State the angles in degrees, accurate to 2 decimal places. Given cot theta =- 3/5, where the angle theta terminates in a Q IV, find a) sin theta b) sec theta Include in your solution the reference triangle for theta and label all sides of the triangle. Find an acute angle theta such that csc theta = 5.3 State the answer accurate to 4 decimal places.

Explanation / Answer

g(t)= -7cos(3pi t/4)

This is of the form

y= Acos(Bx +C)

Amplitude,a=7

Period,2pi/B=2pi/3pi/4=8/3

10. Sin t=-0.5

t=sin-1-.5

t=210°,330°

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