Geometry

Sum and Difference Trigonometric Formulas

Tangent - Sum and Difference Formulas

         

Which of the following is equal to

tan43tan141+tan43×tan14? \frac{ \tan 43 ^ \circ - \tan 14 ^ \circ } { 1 + \tan 43 ^ \circ \times \tan 14 ^ \circ } ?

Which of the following is equal to

tan19+tan261tan19×tan26? \frac{ \tan 19 ^ \circ + \tan 26 ^ \circ } { 1 - \tan 19 ^ \circ \times \tan 26 ^ \circ } ?

If tanx=114\tan x=\frac{1}{14}, the value of tan(x+π4)\tan \left(x+\frac{\pi}{4}\right) 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 tanN=tan12+sec12 \tan N ^ \circ = \tan 12 ^ \circ + \sec 12 ^ \circ , where 0N90 0 \leq N \leq 90 , what is the value of NN?

Which of the following expressions is equal to tan2θ \tan 2 \theta ?

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