Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse
You can use your trigonometric functions (sine, cosine, and tangent).
They are used to find the angle or side measurement of a right triangle. For example, if 2 sides of a right triangle have known values and an angle has a known measurement, you can find the third side by using sine, cosine or tangent.
Sine allows us to find out what a third side or an angle is using the equation sin(x) = opposite over hypotenuse (x being the angle). Cosine has the same function but instead uses the equation cosine(x)= opposite over adjacent
√ 1/2 = sine(45)= cosine(45) -Key
The sine and cosine of acute angles are equal only for 45° sin45° = cos 45° = 1/sqrt(2) = 0.7071
Sine = -0.5 Cosine = -0.866 Tangent = 0.577
The sine, cosine and tangent are used to find the degrees of a right angle triangle.
For a right angle triangle:- hypotenuse = adjacent/cosine or hypotenuse = opposite/sine
The maximum of the sine and cosine functions is +1, and the minimum is -1.
sine graph will be formed at origine of graph and cosine graph is find on y-axise
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
because sine & cosine functions are periodic.
Two methods to try . #1 Use pythagoras h^ = a^2 + a^2 NB THis is only good if you know that the two unknown sides are the same length. #2 Use trigonometry (trig.) This is good if you know the hypotenuse and one of the angles. Sine(angle) = opposite/ hypotenuse Hence opposite side = hypotenuse X sine(angle) Similarly Cosine(angle) = adjacent / hypotenuse. adjacent side = hypotenuse X Cosine(angle) Here is an example If you known the hypotenuse is a length of '6' and the angle is 30 degrees. Then opposite = 6 X Sin(30) opposite = 6 x 0.5 = 3 So the length of the oppisute sides is '3' units. NB DO NOT make the mistakes of saying Sin(6 X 30) = Sin(180) Nor 6 x 30 , nor Sin(6) X 30 , nor any other combination. You MUST find the SINE of the angle , then multiply it to the given length. Similarly for Cosine and Tangent.
No, they do not.
The deriviative of sine(x) is cosine(x).