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Nitella [24]
3 years ago
5

Write the expression as either the sine, cosine, or tangent of a single angle. cos(pi/5) cos(pi/7)+sin(pi/5)sin (pi/7)​

Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0

Answer:

cos(2π/35)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Pre-Calculus</u>

  • Sum/Difference Formula [cosine]: \displaystyle cos(x \pm y) = cos(x)cos(y) \mp sin(x)sin(y)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

cos(π/5)cos(π/7) + sin(π/5)sin(π/7)

<u>Step 2: Simplify</u>

  1. Sum/Difference Formula [cosine]:                                                                   cos(π/5)cos(π/7) + sin(π/5)sin(π/7) = cos(π/5 - π/7)
  2. Subtract:                                                                                                            cos(π/5 - π/7) = cos(2π/35)
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