The trigonometric function gives the ratio of different sides of a right-angle triangle.
What are Trigonometric functions?
The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.
Given for ∠X, the base side is 7, the perpendicular side is 4√2, while the hypotenuse side is 9. Therefore, the value of the trigonometric ratios are:
[tex]\rm Sin X=\dfrac{4\sqrt2}{9}\\\\\\Cos X=\dfrac{7}{9}\\\\\\tan X=\dfrac{4\sqrt2}{7}[/tex]
Learn more about Trigonometric functions:
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