Sine D=4/6=2/3 Cosine D=2/6=1/3
Sine E=2/6=1/3 Cosine E=4/6=2/3
Sine M=2/3 Cosine M=1/3
Sine N=1/3 Cosine N=2/3
Hints: triangle DEF, Sine of D is equal to the Cosine of E and the Sine of E which equals the Cosine of D
triangle MNO, Sine of M is equal to the Cosine of N and the Sine of N which equals the Cosine of M
triangle DEF and triangle MNO, Sine of D equals the Sine of M, Sine of E equals the Sine of N
Cosine of D equals the Cosine of M, Cosine of E equals the Cosine of N
HOW TO SOLVE: Sine=Opposite/Hypotenuse
Cosine=Adjacent/Hypotenuse
Sine: Sine D (opposite of <D is 4 and the Hypotenuse is 6. so the ratio would be 4/6 or 2/3)
Cosine: Cosine M (adjacent to <M is 1 and the Hypotenuse is 3. so the ratio would be 1/3)
Sine and Cosine ratios for similar triangles
Find the sine and cosine of <D,<E,<M,and <N of the similar triangles. compare the ratios.
Sine D=4/6=2/3 Cosine D=2/6=1/3
Sine E=2/6=1/3 Cosine E=4/6=2/3
Sine M=2/3 Cosine M=1/3
Sine N=1/3 Cosine N=2/3
Hints: triangle DEF, Sine of D is equal to the Cosine of E and the Sine of E which equals the Cosine of D
triangle MNO, Sine of M is equal to the Cosine of N and the Sine of N which equals the Cosine of M
triangle DEF and triangle MNO, Sine of D equals the Sine of M, Sine of E equals the Sine of N
Cosine of D equals the Cosine of M, Cosine of E equals the Cosine of N
HOW TO SOLVE: Sine=Opposite/Hypotenuse
Cosine=Adjacent/Hypotenuse
Sine: Sine D (opposite of <D is 4 and the Hypotenuse is 6. so the ratio would be 4/6 or 2/3)
Cosine: Cosine M (adjacent to <M is 1 and the Hypotenuse is 3. so the ratio would be 1/3)