Quiz 36 Application Problem #1 1. Convert from revolutions into radians 2. Write the Equation and fill in information 3. Convert from ft/sec to mi/hr 4. Write the answer

Bellwork 1.Estimate the angle in radians. 2.Convert to degrees, then find the complement and the supplement of the following angle. 3.Convert to degrees, then find one positive and one negative coterminal angle for the following angle. State what quadrant the following angle is in and then sketch the angle in standard position ° ° °

Bellwork 1.Estimate the angle to the nearest one- half radian. 1.Find the complement and the supplement of the following angle.

Bellwork Find one positive and one negative coterminal angle for the following angle.

Bellwork State what quadrant the following angle is in and then sketch the angle in standard position. Then change the angle to radian. 135° -98° 300°

PreCalculus 6.2 Right Triangle Trigonometry

The 6 Trigonometric Ratios (Functions)

Using a triangle to find the exact ratio value 1. Find the exact values of the six trigonometric ratios (functions) of the angle θ shown in the figure.

Using a triangle to find the exact ratio value 2. Find the other five trigonometric ratios (functions) of θ, given the following ratios. a. b.

Bellwork 1.Find the 5 remaining trig. ratios from the following information.

Two special right triangles

Using “Special Right Triangles” to find the exact ratio value: 1.Find the following ratios without a calculator. a.b.

Using “Special Right Triangles” to find the exact ratio value: 1.Find the following ratios without a calculator. c.

Using “Special Right Triangles” to find the exact ratio value: 2. Find the value of θ in degrees(0°< θ < 90°) and radians (0 < θ < π/2) without the aid of a calculator. a.b.

Using “Special Right Triangles” to find the exact ratio value: 2. Find the value of θ in degrees(0°< θ < 90°) and radians (0 < θ < π/2) without the aid of a calculator. c.

Chart for Common Angles 30° or60° or45° or sin cos tan

Using the calculator to find the approximate ratio value 1.Use a calculator to evaluate each function. a.b. c.d.

Using the calculator to find the approximate θ value 2. Find the value of θ in degrees and radians by using the calculator. a.b. c.

Trigonometric Identities Reciprocal Identities:

Trigonometric Identities Quotient Identities:

Trigonometric Identities Pythagorean Identities:

Example 1. Let θ be an acute angle such that sin θ = 0.6. Find the values of cos θ and tan θ using trigonometric identities.

Example 2. Use the trigonometric identities to transform the left side of the equation into the right side.

6.2 Assignment Pg. 472 #’s 2, 8, 9, 12, 23-26, 28, 31, 32, 36-38, 42, 43, , 56, 57, 59