8 – 6 The Sine and Cosine Ratios. Sine and Cosine Suppose you want to fine the legs, x and y, in a triangle. You can’t find these values using the tangent.

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Presentation transcript:

8 – 6 The Sine and Cosine Ratios

Sine and Cosine Suppose you want to fine the legs, x and y, in a triangle. You can’t find these values using the tangent ratio because the only side you know it the hypotenuse. The ratios that relate are sine and cosine. Sine = Cosine = hypotenuse Opposite leg Adjacent Leg

Sine and Cosine We now have 3 useful trigonometric ratios given below Tan A = Sin A = Cos A = SOHCAHTOA

Sine and Cosine Find the values of x and y to the nearest integer y x

Sine and Cosine Find the values of x and y to the nearest integer y x

Sine and Cosine Find the values of x and y to the nearest integer y x

Sine and Cosine Find the values of x and y to the nearest integer y x

Sine and Cosine Find the values of x and y to the nearest integer. 120(0.9205) = x y x

Sine and Cosine Find the values of x and y to the nearest integer. 120(0.9205) = x or 110 = x y x

Sine and Cosine Find the values of x and y to the nearest integer. 120(0.9205) = x or 110 = x y x

Sine and Cosine Find the values of x and y to the nearest integer. 120(0.9205) = x or 110 = x y x

Sine and Cosine Find the values of x and y to the nearest integer. 120(0.9205) = x or 110 = x y x

Sine and Cosine Find the values of x and y to the nearest integer. 120(0.9205) = x 120(0.3907) = y or 110 = x y x

Sine and Cosine Find the values of x and y to the nearest integer. 120(0.9205) = x 120(0.3907) = y or 110 = x y = or y x

Sine and Cosine Find the value of n to the nearest integer n o

Sine and Cosine Find the value of n to the nearest integer n o

Sine and Cosine Find the value of n to the nearest integer n o

Sine and Cosine Find the value of n to the nearest integer n o

Sine and Cosine Find the value of n to the nearest integer n o

Sine and Cosine Find the value of n to the nearest integer N = n o