Geometry

Sum and Difference Trigonometric Formulas

Cosine - Sum and Difference Formulas

         

Using the cosine difference formula, what is the value of

cos15? \cos 15 ^ \circ ?

Which of the following is equal to

cos56cos11+sin56sin11? \cos 56 ^ \circ \cos 11 ^ \circ + \sin 56 ^ \circ \sin 11 ^ \circ ?

Which of the following is equal to

cos15cos45sin15sin45? \cos 15 ^ \circ \cos 45 ^ \circ - \sin 15 ^ \circ \sin 45 ^ \circ ?

Which of the following is NOT equal to cos2θ \cos 2 \theta ?

NN and MM are real numbers such that

cos(α+β)=Ncosαcosβ+Msinαsinβ \cos ( \alpha + \beta) = N \cos \alpha \cos \beta + M \sin \alpha \sin \beta

is an algebraic identity. What is the value of N+MN+M.

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