Trigonometric functions (also known as "circle functions") are functions of angles; they are important in studying triangles and modeling periodic phenomena and in many other applications. A trigonometric function is usually defined as the ratio of the two sides of a right triangle containing the angle, or the length of various line segments on the unit circle. More modern definitions express them as solutions of infinite series or specific differential equations, allowing them to be extended to any number of positive and negative values, even complex values.
For some trigonometric function formulas, the proof process of the final result is listed for the specific angle value.
Trigonometric function:
$$ sin^2θ + cos^2θ = 1 $$ $$ tan^2θ + 1 = sec^2θ $$ $$ 1 + cot^2θ = cosec^2θ $$
Angle: 60
Click "Sin^2+Cos^2=1" to output the result
Result:
Sin^2 + Cos^2 = 0.8660254037844388 ^2 + 0.4999999999999997 ^2
Sin^2 + Cos^2 = 0.75 + 0.25
1 = 1
Because of 1 = 1, when the angle is 60.
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