Solution

prove

Solution

Solution steps
Manipulating left side
Rewrite using trig identities
Use the basic trigonometric identity:
Use the Angle Difference identity:
Use the Angle Difference identity:
Simplify
Rewrite as
Apply the periodicity of :
Use the following trivial identity:
periodicity table with cycle:
Multiply:
Rewrite as
Apply the periodicity of :
Use the following trivial identity:
periodicity table with cycle:
Apply rule
Rewrite as
Apply the periodicity of :
Use the following trivial identity:
periodicity table with cycle:
Multiply:
Rewrite as
Apply the periodicity of :
Use the following trivial identity:
periodicity table with cycle:
Apply rule
Use the basic trigonometric identity:
We showed that the two sides could take the same form

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Frequently Asked Questions (FAQ)

  • Is tan(x-360)=tan(x) ?

    The answer to whether tan(x-360)=tan(x) is True