Homework Sourse1 Find the values of the trigonometric functions of t from t
1. Find the values of the trigonometric functions of t from the given information.
tan t = -8/15, cos t > 0
2.Find the values of the trigonometric functions of t from the given information.
sec t = 2,
terminal point of t is in Quadrant IV
3 Find an approximate value of the given trigonometric function by using the figure and a calculator.
cos 1
(a) the figure (Round your answer to one decimal place.)
0.5
(b) a calculator (Round your answer to four decimal places.)
| sin t | = | |
| cos t | = | |
| csc t | = | |
| sec t | = | |
| cot t | = |
Solution
1) tan t = -8/15, cos t > 0
t is in IVrth quadrant
In IVrt quadrant : sint , tant are -ve
hypotenuse = sqrt(8^2 +15^2) = 17
cott = =15/8
sint = -8/17
cost = 15/17
sect = 17/15
csct = -17/8
2)
sec t = 2,
terminal point of t is in Quadrant IV
In IVrt quadrant : sint , tant are -ve
cost = 1/2
height = sqrt(2^2 -1) = sqrt3
sint =-sqrt(3)/2
csct = -2/sqrt3
tant = -sqrt(3)
cot t = -1/sqrt3
3)
