8 1 simple trig equations

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Information about 8 1 simple trig equations
Education

Published on March 16, 2014

Author: hisema01

Source: slideshare.net

Ch. 8 – Trig Equations and Applications 8.1 Simple Trig Equations Objectives: 1. Solve and apply simple trig equations

To Solve:  Isolate the trig function on one side.  Use inverse trig function on calc. to find reference angle.  Find other angles within given restrictions.

Example:  Find the values of x between 0 and 2π for which sin x = 0.6.

Example:  To the nearest tenth of a degree, solve 3 cos θ + 9 = 7 for 0 ≤ θ < 360°

You Try!  To the nearest hundredth of a radian, solve 3 sin x + 2 = 4 for 0 ≤ x < 2π

Inclination and Slope  A line’s inclination is the angle α, where 0° ≤ α < 180°, that is measured from the + x-axis to the line.  How can we find the slope?

Theorem  For any line with slope m and inclination α:  If α = 90°, the line is vertical and its slope is undefined.

Example:  The inclination of a line is 140°, find its slope to the nearest hundredth.

You Try!  Find the slope and equation of the line with inclination 45° and y-intercept (0, 4).

Example  To the nearest degree, find the inclination of the line 2x + 5y = 15.

You Try!  To the nearest degree find the inclination of the line joining the points (-3, -5) and (3, -3)

More Solving  Solve for 0 ≤ x < 2π without a calculator:

You Try!  Solve for 0 ≤ x < 2π without a calculator:

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