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CO-FUNCTIONS THE UNIT CIRCLE

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The Unit Circle. Co -functions. Aim: Use complementary angles in order to find equivalent co-functions. Remember. Aim: Use complementary angles in order to find equivalent co-functions. co functions. Functions that co mplement eachother : sineθ = co sine(90° – θ ) - PowerPoint PPT Presentation

### Transcript of The Unit Circle

C O - F U N C T I O N S

THE UNIT CIRCLE

REMEMBERAim: Use complementary angles in order to find equivalent co-functions.

COFUNCTIONS

Functions that complement eachother:• sineθ = cosine(90° – θ)

ex: sin 30° = cos _____

• tangentθ = cotangent(90° – θ)ex: tan 45° = cot _____

• secantθ = cosecant( – θ)ex: sec = csc _____

90° - 30°

90° - 45°

Aim: Use complementary angles in order to find equivalent co-functions.

TRY THESE

1. cos 10° = sin _____

80°

2. csc = sec___

3. sin (90° - θ)= ________cos θ4. tan 50° = _____ 40°cot5. Solve for x: sin (3x + 5)° = cos (4x + 1)°

(3x + 5)°+ (4x + 1)°7x + 6 = 90

x = 12

Aim: Use complementary angles in order to find equivalent co-functions.

= 90°