Geometry

Sum and Difference Trigonometric Formulas

Half Angle Tangent Substitution

         

If tanx2=14\tan \frac{x}{2}=\frac{1}{4}, the value of cosx\cos x can be expressed as ab\frac{a}{b}, where aa and bb are coprime positive integers. What is the value of a+ba+b?

If tanθ=t \tan \theta = t , which of the following is equal to tan2θ \tan 2 \theta ?

If tanx2=11\tan \frac{x}{2}=-11, the value of tanx\tan x can be expressed as ab\frac{a}{b}, where aa and bb are coprime positive integers. What is the value of a+ba+b?

If tanθ=t \tan \theta = t , which of the following is equal to cos2θ \cos 2 \theta ?

If tanx=2\tan x = 2, then sin2x+cos2x+tan2x=ab\sin 2x + \cos 2x + \tan 2x = -\frac{a}{b}, where aa and bb are coprime positive integers. What is the value of a+ba+b?

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