Solution

prove

Solution

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

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Frequently Asked Questions (FAQ)

  • Is sin(90-θ)=cos(θ) ?

    The answer to whether sin(90-θ)=cos(θ) is True