The Unit Circle
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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°
