Question

$\bf{question:} \\ \sf \: Trigonometry \: Table \\ \green{hi} \purple{\fcolorbox{red}{pink}{{{{\: {{{{\boxed{\boxed{\begin{array}{ |c |c|c|c|c|c|} \bf\angle A & \bf{0}^{ \circ} & \bf{30}^{ \circ} & \bf{45}^{ \circ} & \bf{60}^{ \circ} & \bf{90}^{ \circ} \\ \\ \rm sin A & 0 & \dfrac{1}{2}& \dfrac{1}{ \sqrt{2} } & \dfrac{ \sqrt{3}}{2} &1 \\ \\ \rm cos \: A & 1 & \dfrac{ \sqrt{3} }{2}& \dfrac{1}{ \sqrt{2} } & \dfrac{1}{2} &0 \\ \\ \rm tan A & 0 & \dfrac{1}{ \sqrt{3} }&1 & \sqrt{3} & \rm \infty \\ \\ \rm cosec A & \rm \infty & 2& \sqrt{2} & \dfrac{2}{ \sqrt{3} } &1 \\ \\ \rm sec A & 1 & \dfrac{2}{ \sqrt{3} }& \sqrt{2} & 2 & \rm \infty \\ \\ \rm cot A & \rm \infty & \sqrt{3} & 1 & \dfrac{1}{ \sqrt{3} } & 0\end{array}}}}}}}}}}}}$
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Answer 1

The six trigonometric ratios of a right angle triangle are Sin, Cos, Tan, Cosec, Sec and Cot. They stand for Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent respectively. In the following section, we will learn the formulas for these trigonometric ratios. We will also learn some funny mnemonics to memorize it.

Trigonometric Ratios in Right Angle Triangle

Trigonometric Ratios are applicable only for a right-angle triangle. A right-angle triangle is a special triangle in which one angle is 90o and the other two are less than 90o. Furthermore, each side of the right angle triangle has a name.

Hypotenuse: It is the largest side of the triangle. Also, it is opposite the right angle of the triangle.

Base: The side on which the right angle triangle stands is known as its base. Moreover, any of the two sides other than the hypotenuse can be chosen as the base for performing the calculation.

Perpendicular: It is the side perpendicular to the base of the right-angled triangle.