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Mapping Your Mind - Coggle Diagram

- - - - Reciprocal Identities are formulas that can be reciprocated with its appropriate counterpart. Here’s an example: sin x = 1/csc x.
      - Quotient Identities are divided by each other, and are used to solve problems dealing with trigonometry functions involving tangent and cotangent.
      - Like any identity, The Pythagorean identity can be used for rewriting trigonometric expressions in equivalent, more useful, forms.
      - The even-odd identities help establish simpler forms for the given formulas. An example is sin(-x) = -sin x
  - - - The Cosine of the Difference of Two Angles has an equation which is: cos(a-B)= cosa cos B + sin a + sinB
        
        sum for Cosine: cos(a+B)= cos a cos B - sin a sin B
        
        Difference for Cosine: cos(a-B) = cos a cosB + sin a sin B
        
        Sum for Sine: sin(a+B) = sina cos B + cos a sin B
        
        Difference for Sine: sin(a-B) = sin a cos B - cos a sin B
        
        tan θ = sinθ/cosθ
      - This can be used when trying to prove other identities to find exact values. It can also be used to "prove the remaining sine and cosine formulas for the sum and difference." (notes)