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The Unit Circle

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 )

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The Unit Circle

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  1. The Unit Circle Co-functions

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

  3. Aim: Use complementary angles in order to find equivalent co-functions. cofunctions Functions that complement eachother: • sineθ=cosine(90° – θ) ex: sin 30° = cos _____ 90° - 30° • tangentθ= cotangent(90° – θ) ex: tan 45° = cot _____ 90° - 45° • secantθ= cosecant( – θ) ex: sec = csc _____

  4. Aim: Use complementary angles in order to find equivalent co-functions. Try thEsE 80° 1. cos 10° = sin _____ 2. csc = sec___ cosθ 3. sin (90° - θ)= ________ cot 4. tan 50° = _____ 40° 5. Solve for x: sin (3x + 5)° = cos (4x + 1)° (3x + 5)° + (4x + 1)° = 90° x = 12 7x + 6 = 90

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