7.3 Trigonometric Functions of Angles

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# 7.3 Trigonometric Functions of Angles - PowerPoint PPT Presentation

7.3 Trigonometric Functions of Angles. Angle in Standard Position. y. Distance r from ( x , y ) to origin always (+). ( x , y ). r. y. . x. x. Memorize!!. Six Trig Functions. sine. cosecant. secant. cosine. tangent. cotangent.

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## 7.3 Trigonometric Functions of Angles

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### 7.3 Trigonometric Functions of Angles

Angle in Standard Position

y

Distance r from (x, y) to origin always (+)

(x, y)

r

y

x

x

Memorize!!

Six Trig Functions

sine

cosecant

secant

cosine

tangent

cotangent

Ex 1) Determine exact values of 6 trig functs of an angle  in stand. pos. if term. side goes through (12, –5)

12

–5

r

(12, –5)

Signs of Trig Functions

y

r is always (+)

sin  & csc → sign of y

cos & sec  → sign of x

tan  & cot  → both x & y

- same sign → (+)

- opp sign → (–)

II

S

A

I

( – , + )

( +, + )

x

T

C

III

IV

( + , – )

( – , – )

→ x < 0

cos < 0

→ x & y have opp. signs

tan  < 0

x < 0 → y > 0