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

Find:

438. Given: ; is in quadrant III.

Find:

439. Given: ;

Find:

440. Given: ,

Find:

441−445Solve 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?

446−450Find 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.

451−455Find 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.

456−460Find 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

The graphs of trigonometric functions are usually easily recognizable — after you become familiar with the basic graph for each function and the possibilities for transformations of the basic graphs.

Trig functions are periodic. That is, they repeat the same function values over and over, so their graphs repeat the same curve over and over. The trick is to recognize how often this curve repeats and where one of the basic graphs starts for a particular function.