Trigonometric Ratios using a Calculator

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Presentation transcript:

Trigonometric Ratios using a Calculator OBJECTIVE: To use the sine, cosine and tangent ratios to determine side lengths and angle measures in right triangles. BIG IDEAS: REASONING AND PROOF and MEASUREMENT ESSENTIAL UNDERSTANDING: If certain combinations of side lengths and angle measures of a right triangle are known, ratios can be used to find other side lengths and angle measures. MATHEMATICAL PRACTICE: Attend to precision

Background You can use a calculator to approximate the trig ratios of any degree angle. Make sure your calculator is in DEGREE mode. The Sine and Cosine of any acute angle is always less than 1. The tangent of any acute angle can be less than 1, equal to 1 or greater than 1. The angle that your line of sight makes with a line drawn horizontally is called the angle of elevation

EX 1: Evaluate Write your answer as an integer or as a decimal rounded to the nearest hundredth A) B) C)

EX 2: Evaluate Use a calculator to find the measure of the acute angle( ). Round the value of the angle A in degrees to the hundredth. A) B) C)

EX 3: Find the value of each variable EX 3: Find the value of each variable. Round decimals to the nearest tenth 3. x y 34

EX 4: Find the value of each variable EX 4: Find the value of each variable. Round decimals to the nearest tenth 4. x 6 y

EX 5: Application problem 5. If is known that a hill frequently used for sled riding has an angle of elevation of at its bottom. If the length of a sledder’s ride is 52.6 feet, estimate the height of the hill.

GEOM IXL R6 Trigonometric Ratios using a Calculator WS Score of 70+ And 8 questions WS