Pre-Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice). Mary Jane Sterling

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Calculating Trig Functions by Using Other Functions and Terminal Side Positions

       435−440 Use the given information to find the exact value of the trigonometric function.

      435. Given: ; is in quadrant I

      Find:

      436. Given: ; is in quadrant II

Find:

      437. Given: is in quadrant IV

      Find:

      438. Given: ; is in quadrant III.

      Find:

      439. Given: ;

      Find:

      440. Given: ,

      Find:

Using the Arc Length Formula

      441−445 Solve the problem using the arc length formula , where r is the radius of the circle and is in radians.

      441. The central angle in a circle with a radius of 20 cm is Find the exact length of the intercepted arc.

      442. The central angle in a circle of radius 6 cm is 85°. Find the exact length of the intercepted arc.

      443. Find the radian measure of the central angle that intercepts an arc with a length of inches in a circle with a radius of 13 inches.

      444. The second hand of a clock is 18 inches long. In 25 seconds, it sweeps through an angle of 150°. How far does the tip of the second hand travel in 25 seconds?

      445. How far does the tip of a 15 cm long minute hand on a clock move in 10 minutes?

Evaluating Inverse Functions

       446−450 Find an exact value of y.

      446. ; give y in radians.

      447. ; give y in radians.

      448. ; give y in radians.

      449. ; give y in radians.

450.

Solving Trig Equations for x in Degrees

      451−455 Find all solutions of the equation in the interval . (Recall that the quadrants in standard position are numbered counterclockwise, starting in the upper right-hand corner.)

      451.

      452.

      453.

      454.

      455.

Calculating Trig Equations for x in Radians

      456−460 Find all solutions of the equation in the interval . (Recall that the quadrants in standard position are numbered counterclockwise, starting in the upper right-hand corner.)

      456.

      457.

      458.

      459.

      460.

Chapter 8

      Graphing Trig Functions

      The graphs of trigonometric СКАЧАТЬ