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Finding all cosine angles

Cosine rule

Section titled “Cosine rule”

This means that, if we know one solution for , we can find another by subtracting that angle from .

Negative cosine angles

Section titled “Negative cosine angles”

The cosine of a negative angle is the negative of the cosine of the positive angle

Periodicity of cosine

Section titled “Periodicity of cosine”

The cosine function has a period of . This means that every interval of , the cosine function repeats its values.

This means that we can add or subtract any number of times to find more solutions to cosine equations:

… where is any integer.

Solving cosine equations

Section titled “Solving cosine equations”

Solve for values of between and .

Section titled “Solve for values of between and .”
  • Answer:

Solve for values of between and .

Section titled “Solve for values of between and .”
  • Answer:

Solve for values of between and .

Section titled “Solve for values of between and .”
  • Answer: