What is meant by trigonometry? Give some important trigonometric ratios.
Difficulty: Easy
Trigonometry:
Trigonometry is a branch of mathematics that deals with the properties of a right-angled triangle.
Trigonometric ratios:
Consider a right-angled triangle $\triangle ABC$ having $\theta$ at A.
$\sin \theta$ = Perpendicular/ Hypotenuse $\frac{BC}{AB}$
$\cos \theta$ = Base/Hypotenuse $\frac{AC}{AB}$
$\tan \theta$ = Perpendicular/Base = $\frac{BC}{AC}$
Note:
To remember trigonometric ratios, we use the following sentence:
“Some people have – Curly brown hair – Through proper brushing”
Pythagoras theorem:
$\left(Hypotenuse\right)^{2}=\left(Base\right)^{2}+\left(Perpendicular\right)^{2}$
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