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Check Homework

Check Homework. PRE. Lesson 7.4: Inverse Trig Functions. Objectives: To define the inverse of the sine, cosine, and tangent functions. To understand the domain and range of the inverse trig functions. Inverse Sine. Inverse Sine (arcsin).

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Check Homework

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  1. Check Homework

  2. PRE Lesson 7.4: Inverse Trig Functions • Objectives: • To define the inverse of the sine, cosine, and tangent functions. • To understand the domain and range of the inverse trig functions.

  3. Inverse Sine

  4. Inverse Sine (arcsin) The inverse of the function sin is the function sin–1 defined by: for –1 ≤ x ≤ 1 and –π/2 ≤ y ≤π/2. sin y = x sin–1x = y

  5. Example 1. Find the exact value of the expression if it is defined: • sin–1 ½ • sin–1 (–½) • sin–1 (3/2)

  6. Inverse Cosine

  7. Inverse Cosine (arccos) The inverse cosine functionis the function cos–1with domain [–1, 1] and range [0, π], defined by: cos y = x cos–1 x = y

  8. Example 2. Find the exact value of the expression if it is defined: • cos–1 • cos–1 (0) • cos–1 (5/7)

  9. Inverse Tangent

  10. Inverse Tangent (arctan) The inverse tangent functionis the function tan–1with domain and range (–π/2, π/2) defined by: tan y = x tan–1 x = y

  11. Example 3. Find the exact value of the expression if it is defined: • tan–1 (1) • tan–1 ( ) • tan–1 (-20)

  12. Ex 4. Find the exact value of the expression, if it is defined. a.) b.) c.)

  13. Classwork:Book; pg. 557: 1,4,6,7,10,11,13,16,18, 21, 26,53,54

  14. Classwork:Book; pg. 557: 1,4,6,7,10,11,13,16,18, 21, 26,53,54

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