Right Triangle Ratios Chapter 6.

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Presentation transcript:

Right Triangle Ratios Chapter 6

The hypotenuse will always be the side opposite of the right angle The hypotenuse will always be the side opposite of the right angle. However, the opposite and adjacent sides are dependent upon where the angle in question is located. Right Triangle hypotenuse Opposite side Adjacent side

The six trigonometric ratios are: Right Triangle sine, cosine, and tangent cosecant, secant, and cotangent hypotenuse Opposite side Adjacent side opposite oscar hypotenuse 1 sin  = csc  = csc  = hypotenuse has opposite sin θ 1 adjacent a hypotenuse sec  = cos  = sec  = cos θ hypotenuse heap adjacent opposite of adjacent 1 tan  = cot  = cot  = adjacent apples opposite tan θ

Find the exact value of the six trigonometric functions.

Find the exact value of the six trigonometric functions.

Find the exact value of the six trigonometric functions.

Find the exact value of the six trigonometric functions.

Using a calculator, find the approximate value of each. 1. Cos 48° .67 1 csc  = sin θ 2. Csc 21° 2.79 1 sec  = cos θ 3. Cot 60° .58 1 cot  = tan θ 4. Sec 53° 1.66

Solve the triangle. Round sides to the nearest tenth and angles to the nearest whole degree.

Solve the triangle. Round to the nearest tenth and angles to the nearest whole degree.

Solve the triangle. Round to the nearest tenth and angles to the nearest whole degree.

Solve the triangle. Round to the nearest tenth and angles to the nearest whole degree.