oooo ATT 403 PM 15 a elmhurstblackboardcom Precalculus Use

.oooo AT&T; 4:03 PM * 15% a elmhurst.blackboard.com Precalculus Use the unit circle to find the value of the trigonometric function. 1) sec 2) csc Solve the problem. 3) What is the domain of the cosine function? 4) What is the range of the sine function? Find the exact value of the trigonometric function. Do not use a calculator. Use periodic properties of the trigonometric functions to find the exact value of the 22n 6) sin 29

Solution

1) sec ( pi/6 ) = hypotenuse / adjacent

since its a unit circle hypotenuse = 1

adjacent = sqrt 3/2

sec ( pi/6 ) = 1 / sqrt 3/2

= 2 sqrt 3 / 3

2) csc ( pi/3 ) = hypotenuse / opposite

= 1/ sqrt 3 /2

= 2 sqrt 3 /3

3) domain of cosine function is ( -infinity , + infinity )

4) range of sine function is [ -1 , 1 ]