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Accelerated Precalculus: Sum and Difference Identities, Summaries of Pre-Calculus

Philippine Women's University (PWU)Pre-Calculus

Accelerated Precalc – McGlone. Section 5.4 – Sum and Difference Identities. Use sum and difference identities to find the exact value of each. 1. cos 75⁰.

Typology: Summaries

2021/2022

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Accelerated Precalc – McGlone
Section 5.4 – Sum and Difference Identities
Use sum and difference identities to find the exact value of each.
1. cos 75⁰ 2. cos 375⁰
3. sin -165⁰ 4. sin -105⁰
5. sin 95⁰cos55⁰ + cos95⁰sin 55⁰ 6. cos 160⁰cos 40⁰ + sin 160⁰sin40⁰
7. tan (135⁰ + 120⁰) 8. tan 345⁰
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Accelerated Precalc – McGlone Section 5.4 – Sum and Difference Identities Use sum and difference identities to find the exact value of each.

  1. cos 75⁰ 2. cos 375⁰
  2. sin - 165⁰ 4. sin - 105⁰
  3. sin 95⁰cos55⁰ + cos95⁰sin 55⁰ 6. cos 160⁰cos 40⁰ + sin 1 60 ⁰sin40⁰
  4. tan (135⁰ + 120⁰) 8. tan 345⁰

If 𝜶 and 𝜷 are two first quadrant angles, find the exact value of each function.

  1. If sin 𝛼 = 12 13 and cos 𝛽 = 3 5 , find the cos (𝛼 − 𝛽).
  2. If cos 𝛼 = 12 13 and cos 𝛽 = 12 37 , find the tan (𝛼 − 𝛽).
  3. If cos 𝛼 = 8 17 and tan 𝛽 = 5 12 , find the cos (𝛼 + 𝛽).
  4. If csc 𝛼 = 13 12 and sec 𝛽 = 5 3 , find the sin (𝛼 − 𝛽). Verify the following as an identity.
  5. cos (180⁰ - 𝜃) = - cos 𝜃 14. sin (360⁰ + 𝜃) = sin 𝜃