Trigonometric Ratios - Instruction

Which trigonometric ratios are correct for triangle XYZ? Check all that apply. - tan(Y) = 8/15 - cos(X) = 15/17 - tan(X) = 15/8 - sin(Y) = 8/17 - cos(Y) = 8/17

- tan(Y) = 8/15 - tan(X) = 15/8 - sin(Y) = 8/17

Consider ΔABC ~ ΔXYZ. What is the value of tan(A)? ---- What is the value of tan(X)? ---- What is true about the two tangent ratios? ----

1. 3/4 2. 3/4 3. tan(X) = tan(A)

Consider △LMN. m∠L + m∠M = ---- ° sin(L) = ---- sin(M) = ----

1. 90° 2. cos(M) 3. cos(L)

Create similar right triangles by changing the scale factor of the right triangle. When the scale factor is 1, what is the ratio of the side length of the side opposite ∠A and the length of the hypotenuse? ---- Change the scale factor to 3. What is the ratio of the side length of the side opposite ∠A to the length of the hypotenuse? ---- What is the ratio of the side length of the side opposite any 30° angle and the length of the hypotenuse? ----

Every drop box answer is 1/2.

What are the input and output values for determining the sine of 60°? A. input: 2/3 ; output: 60° B. input: 60°; output: 3/2 C. input: 60°; output: 2/3 D. input: 3/2 ; output: 60°

B. input: 60°; output: 3/2

What are the ratios of sine, cosine, and tangent for angle Y? A. sin(Y) = XZ/XY ; cos(Y) = YZ/XZ ; tan(Y) = YZ/XY B. sin(Y) = XY/XZ ; cos(Y) = XZ/XY ; tan(Y) = YZ/XZ C. sin(Y) = XZ/XY ; cos(Y) = YZ/XY ; tan(Y) = XZ/YX D. sin(Y) = YZ/XY; cos(Y) = XZ/XY ; tan(Y) = XZ/YX

C. sin(Y) = XZ/XY ; cos(Y) = YZ/XY ; tan(Y) = XZ/YX

Complete the table to show the name of each side of the right triangle when you consider angels A and B.

a b c ∠A: opposite side - adjacent side - hypotenuse ∠B: adjacent side - opposite side - hypotenuse