There are 5 questions Find the terminal point of the value t

There are 5 questions

Find the terminal point of the value t = 3pi/2 Find the value of cot t given cos t = - 15/17 in Quadrant III Sketch the graph of y = 4 + 2 sin (3x + 3) Sketch the graph of y = 5 tan(1/2x + pi/8) Find an angle between 0 degree and 360 degree that is coterminal with -260 degree

Solution

1. Terminal point

(cos 3pi/2, sin 3pi/2) = (0, -1)

2. cos theta=-15/17

Theta is in third quadrant and in third quadrant,cot is positive

Here adjacent=15          hypotenuse=17

Opposite= sqrt(289-225)= 8

cot theta= adjacent/opposite= 15/8