For finding the angles in a right angled triangle the ratios are:
sine = opposite divided by the hypotenuse
cosine = adjacent divided by the hypotenuse
tangent = opposite divided by the adjacent
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
mathematical equation
use the inverse sine or cosine or tangent
It depends on what information you already have. For example, if you know the length of two sides of a triangle, you can easily find the tangent. Or, if you know the length of two angles and a side, you can find the other sides as well, using the tangent, cosine, and sine as needed.
Tangent (theta) is defined as sine (theta) divided by cosine (theta). In a right triangle, it is also defined as opposite (Y) divided by adjacent (X).
SoH: used for finding the sine of a triangle in trigonometry: Opposite/HypotenuseCaH: used for finding the cosine of a triangle in trigonometry: Adjacent/HypotenuseToA: used for finding the tangent of a triangle in trigonometry: Opposite/Adjacent
The sine, cosine and tangent are used to find the degrees of a right angle triangle.
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.
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
You can use your trigonometric functions (sine, cosine, and tangent).
you can use the sine, cosine, tangent formula.
mathematical equation
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 Cosine Tangent Cotangent Secant Cosecant
use the inverse sine or cosine or tangent
It depends on what information you already have. For example, if you know the length of two sides of a triangle, you can easily find the tangent. Or, if you know the length of two angles and a side, you can find the other sides as well, using the tangent, cosine, and sine as needed.
Sine = -0.5 Cosine = -0.866 Tangent = 0.577