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dalvyx [7]
3 years ago
15

If tan⁡ x=−15/8, and 3π/2 < x < 2π, find cos⁡(x−π/4).

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
6 0

Answer:

cos (x)=8/17

Step-by-step explanation:

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Solve the right angle trig problem.
iris [78.8K]

Answer:

x = 53.6588°

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

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use trig to find the missing angle.

<u>Step 2: Identify Variables</u>

<em>POV from angle x</em>

Angle = <em>x</em>

Adjacent = 16

Hypotenuse = 27

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Substitute:                    cosx° = 16/27
  2. Inverse:                         x° = cos⁻¹(16/27)
  3. Evaluate:                       x = 53.6588°
7 0
2 years ago
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