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The Inverse Cosine Function. Lesson 5.3. Reminder … y = cos x. Reminder … y = cos x. Remember… y = sin x. Remember… y = sin x. Remember… y = tan x. Lorem. y = tan -1 x. Lorem. To summarize . Example 1. - PowerPoint PPT Presentation

### Transcript of The Inverse Cosine Function

• The Inverse Cosine FunctionLesson 5.3

• Reminder y = cos x

• Reminder y = cos x

• Remember y = sin x

• Remember y = sin x

• Remember y = tan xLorem

• y = tan-1 xLorem

• To summarize

DomainRangeSin-1x-1 x 1-/2 y /2Cos-1x-1 x 10 y Tan-1xSet of all reals-/2 y /2

• Example 1The top of the crossbar in each goal post in high school football is 10 feet off the ground. Express the measure of the angle of elevation from a point halfway between the sidelines to the top of the crossbar as a function of the distance d in yards from a point directly below the middle of the crossbar. 10 feetcrossbarPoint on fieldd

• Example 2If x < 0 and y > 0, write cos (sin-1(x/y)) in terms of x and y.2nd quadrant cos is negativexy?x2 + ?2 = y2?2 = y2 x2

• Example 3Solve sin x = -.8245x = arcsin(-.8245)x = -55.54 + 360k 2.35.5378 + 360kOR -.9693 + 2k, -2.1722+2k

• HomeworkPages 4722, 14 - 17