Cofunction identities

Intros
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Lessons
  1. What are cofunction identities?
    • Relationships between trigonometric functions and their cofunctions
Examples
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Lessons
  1. Write the following in terms of its cofunction:

    ■\blacksquare sin⁡(23)\sin(23)
    ■\blacksquare cos⁡(47)\cos(47)
    ■\blacksquare tan⁡(π6)\tan(\frac{\pi}{6})
    ■\blacksquare csc⁡(π6)\csc(\frac{\pi}{6})
  2. Solve for xx
    1. sin⁡(x−π4)=cos⁡(π12+3x)\sin(x-\frac{\pi}{4})=\cos(\frac{\pi}{12}+3x)
    2. cot⁡(8∘+x)=tan⁡(4x−3∘)\cot(8^{\circ}+x)=\tan(4x-3^{\circ})
    3. csc⁡(3x+π5)=sec⁡(2x−π10)\csc(3x+\frac{\pi}{5})=\sec(2x-\frac{\pi}{10})