Introduction to trigonometric ratios Trigonometry is the study

The 3 ratios are the sine of an angle, the cosine of an angle,

Trigonometric ratios • In a right triangle, the sine of an angle is the

Trigonometric ratios • In a right triangle, the cosine of a triangle is the

Trigonometric ratios • In a right triangle, the tangent of an angle is the

When used in equations, the sine, cosine, and tangent are often abbreviated "sin", "cos",

Mnemonics can help you remember the trig ratios • SOHCAHTOA • or • Studying

Find the sin, cos, and tan of angle S • Sin = a •

Use a calculator to evaluate the sine, cosine and tangent of an angle •

Use a calculator to evaluate each expression • • Round to nearest hundredth A)

• Trig ratios can be used to solve for unknown side lengths in

Solving for side lengths • Use Tangent ratio to find e to the nearest

Solving for side lengths • Use sin to find x to the nearest hundredth

T 5 V • • • Find sin <T Find tan <U Find cos

Z W 39 x 41 Y • Find x to the nearest tenth

Evaluate each expression • Sin o • Cos 90 o • Tan 45 o

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Introduction to trigonometric ratios Trigonometry is the study of the relationship between sides and angles of triangles. There are 3 basic ratios in trigonometry that can be used to find measures in right triangles

The 3 ratios are the sine of an angle, the cosine of an angle, and the tangent of an angle • A trigonometric ratio is a ratio of 2 sides of a right triangle

Trigonometric ratios • In a right triangle, the sine of an angle is the ratio of the length of the leg opposite the angle to the length of the hypotenuse • Sin A = Opposite • Hypotenuse

Trigonometric ratios • In a right triangle, the cosine of a triangle is the ratio of the leg adjacent to the angle to the length of the hypotenuse • Cos A = Adjacent • Hypotenuse

Trigonometric ratios • In a right triangle, the tangent of an angle is the ratio of the leg opposite the angle to the length of the leg adjacent to the angle • Tan A = opposite • adjacent

When used in equations, the sine, cosine, and tangent are often abbreviated "sin", "cos", and "tan"

Mnemonics can help you remember the trig ratios • SOHCAHTOA • or • Studying Our Homework Can Always Help To Obtain Achievement

Find the sin, cos, and tan of angle S • Sin = a • c cos = b c S b c T tan = a b U a

Find sin, cos, and tan of angle G 3 4

Use a calculator to evaluate the sine, cosine and tangent of an angle • Your calculator needs to be in DEGREE mode, not in radian mode

Use a calculator to evaluate each expression • • Round to nearest hundredth A) cos 72 o B) sin 30 o C) tan 70 o D) cos 30 o E) tan 45 o F) sin 25 o

• Trig ratios can be used to solve for unknown side lengths in right triangles. • An equation can be divided or multiplied by a trig ratio, just as it can with any real number

Solving for side lengths • Use Tangent ratio to find e to the nearest hundredth 13 72 e

Solving for side lengths • Use sin to find x to the nearest hundredth x 32 8

T 5 V • • • Find sin <T Find tan <U Find cos <T Find sin <U Find cos <U Find tan <T 12 U

Z W 39 x 41 Y • Find x to the nearest tenth

Evaluate each expression • Sin o • Cos 90 o • Tan 45 o 30