An example of basic trigonometric functions question is find tan [tex]\frac{11\pi }{4}[/tex].
The term trigonometric function is known to be made up of functions such as sine (sin), cosine (cos), tangent (tan), etc., that stands for the ratios of sides of all right triangles.
To solve for tan [tex]\frac{11\pi }{4}[/tex]
It will be [tex]\frac{11\pi }{4}[/tex] = 2[tex]\pi[/tex] + [tex]\frac{3\pi }{4}[/tex]
θ = [tex]\pi -\frac{3}{4} \pi[/tex]
θ = [tex]\frac{\pi }{4}[/tex]
To know the right angle,
θ = [tex]\frac{\pi }{4}[/tex] x 180/4 = 45⁰
tan θ = 1
Therefore, tan [tex]\frac{11\pi }{4}[/tex] = -1
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