5 2 TRIGONOMETRIC RATIOS IN RIGHT TRIANGLES WHAT

5. 2 TRIGONOMETRIC RATIOS IN RIGHT TRIANGLES • WHAT ARE THE SIX TRIGONOMETRIC RATIOS IN A RIGHT TRIANGLE? • HOW DO WE FIND THE VALUES OF THE SIX TRIG RATIOS?

WHAT IS A TRIG RATIO?

WHAT DO WE NEED TO KNOW ABOUT TRIG RATIOS?

EXAMPLE 1: FIND THE MISSING SIDE OF EACH TRIANGLE

EXAMPLE 2: IDENTIFY THE OPPOSITE, ADJACENT, AND HYPOTENUSE TO THE GIVEN ANGLE • Angle A • Opposite = 4 • Adjacent = 3 • Hypotenuse = 5 • Angle C • Opposite = 3 • Adjacent = 4 • Hypotenuse = 5 • Angle B • Opposite = 5 • Adjacent = Not well defined ? ? • Hypotenuse = • 5

WHAT ARE THE SIX TRIG RATIOS? Words Symbols Ratio Original Trig Ratios Words Reciprocal Trig Ratios Symbols Reciprocal Ratio

EXAMPLE 3: GIVEN ONE TRIG RATIO, FIND THE OTHER 5 FOR THE GIVEN ANGLE H O A

EXAMPLE 3: GIVEN ONE TRIG RATIO, FIND THE OTHER 5 FOR THE GIVEN ANGLE H A O

EXAMPLE 4: FIND THE TRIG RATIOS FOR THE SPECIAL RIGHT TRIANGLES H O A • Identify O, A, H • Does it matter what we call A or O?

EXAMPLE 4: FIND THE TRIG RATIOS FOR THE SPECIAL RIGHT TRIANGLES H A O • Identify O, A, H • Does it matter what we call A or O?

EXAMPLE 4: FIND THE TRIG RATIOS FOR THE SPECIAL RIGHT TRIANGLES H A O • Identify O, A, H • Does it matter what we call A or O?

SUMMARY

SUMMARY A B C