Lesson 7 4 Trigonometry Ohio Content Standards Ohio

Lesson 7 -4 Trigonometry

Ohio Content Standards:

Ohio Content Standards: Use right triangle trigonometric relationships to determine lengths and angle measures.

Ohio Content Standards: Define the basic trigonometric ratios in right triangles: sine, cosine and tangent.

Ohio Content Standards: Apply proportions and right triangle trigonometric ratios to solve problems involving missing lengths and angle measures in similar figures.

Trigonometry

Trigonometry Comes from two Greek terms, trigon, meaning triangle, and metron, meaning measure.

Trigonometric Ratio

Trigonometric Ratio A ratio of the lengths of sides of a right triangle.

Trigonometric Ratio sin A = opposite hypotenuse

Trigonometric Ratio sin A = opposite hypotenuse cos A = adjacent hypotenuse

Trigonometric Ratio sin A = opposite hypotenuse cos A = adjacent hypotenuse tan A = opposite adjacent

Trigonometric Ratio Remember the Indian saying:

Trigonometric Ratio Remember the Indian saying: SOH – CAH – TOA

Find sin L, cos L, tan L, sin N, cos N, and tan N. Express each ratio as a fraction and as a decimal. N 8 M 17 15 L

Find each value to the nearest ten thousandth.

Find each value to the nearest ten thousandth. tan 56°

Find each value to the nearest ten thousandth. cos 89°

Find each value to the nearest ten thousandth. tan E = 9. 4618

Find each value to the nearest ten thousandth. sin B = 0. 7245

A fitness trainer sets the incline on a treadmill to 7°. The walking surface is 5 feet long. Approximately how many inches did the trainer raise the end of the treadmill from the floor? y 5 ft 7°

Assignment: Pgs. 368 -370 18 -48 evens, 70 -82 evens