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Chapter 6: Q. 43 (page 435)

Determine the signs of the six trigonometric functions of an angle θwhose terminal side is in quadrant III.

Short Answer

Expert verified

The trigonometric functions are sine, cosine, cosecant, secant

Step by step solution

01

Given information

Given terminal side is in quadrant III

02

Checking the trigonometric rules

Locating the angle in quadrant III, since it below the x-axis and and left side of the y axis. Then, sine and cosine functions are negative. The reciprocal of sine function is cosecant and the reciprocal of cosine function is secant, so they are also negative. Thus, cosecant and secant functions are negative. Tangent and cotangent functions are both ratio of sine and cosine which had negative values making them positive. Hence, tangent and cotangent functions are positive.

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Most popular questions from this chapter

In problems 13-20, Px,yis the point on the unit circle that corresponds to a real number t. Find the exact values of the six trigonometric functions of t.

22,22.

Use a calculator to find the approximate value of each expression rounded to two decimal places.

sec21°

In the problem, sdenotes the length of the arc of a circle of radius r subtended by the central angle θ. Find the missing quantity. Round answers to three decimal places.

θ=13radian, s=2 feet , r=?

Convert angle in radian to degree-

π3

the point (x, y) is on the terminal side of angle in standard position. Find the exact value of the given trigonometric function

(-5,11),cosϑ
See all solutions

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