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Remember SOHCAHTOA which means, the Sin of an angle is equal to the Opposite side divided by the Hypotenuse, the Cos of an angle is equal to the Adjacent side divided by the hypotenuse, and the Tangent of an angle is equal to the Opposite side divided by the Adjacent side. So as long as you have two sides of a right triangle, then you can find the angles and the length of the third side.
What else can I help you with?
To find the cosine of an angle in a right triangle divide the adjacent by the?
hypotenuse.
How do you find the hypotenuse with only a leg and a degree?
It depends on the position of the 'leg' compared to the known angle. If the 'leg' makes up one of the two sides of the angle, then the other side of the angle is the hypotenuse. In this case the 'leg' would be referred to as the 'adjacent' side. The side the doesn't form part of the angle is referred to as the 'opposite' side. So using the trig. functions. Sin(angle) = opposite / hypotenuse. Then algebraically rearranging hypotenuse = opposite / Sin(angle). Similarly for 'Cos'. Cos(angle) = adjacent/ hypotenuse Hence Hypotenuse = adjacent / Cos(angle) So as an example If the leg/opposite is 2 units. and the angle 30 degrees. Then hypotenuse = 2 / Sin(30). On you calculator you should be find the Sin( 30) = 1/2 = 0.5 Substitute in hypotenuse = 2 / 1/2 ( That is '2' divided by '1/2'), (Division of fractions). hypotenuse = 2 X 2/1 = 4/1 = 4 units. NB When using your calculator to find 'Sin' , 'Cos', and 'Tan' of angles, you will read out some 'horrible' decimal numbers. NNB Do NOT use the TAN(gent) function to find hypotenuse. It is NOT part of the Tan ratio. Here is an 'aide memoire' for the Trig . functions. SOH , CAH, TOA. ( Said as 'soccatoa'). SOH = Sin(angle) = opposite/ hypotenuse = o/h CAH = Cos(angle) = adjacent/hypotenuse = a/h TOA = Tan(Angle) = opposite/adjacent = o/a
What is the adjacent angle to an acute triangle whose hypotenuse is 135 degrees?
The answer should be 67. 5 degrees. The adjacent angle equals the hypotenuse divided by two. After calculation the answer should be approximately 68 degrees.
How do you find the cosine and the sine?
Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse
What is cos of angle a with a hypotenuse of 13 and adjacent of 5 and a opposite of 12?
Cos(angle) = adjacent / hypotenuse. Cos(a) = a/h Substitute Cos(X) = 5/13 = 0.384615... A = Cos^*-1( 0.384615 .... A = 67.38013505... degrees.
What to do when you have the hypotenuse and angle?
For trigonometry if you have the value of the hypotenuse and the angle, it depends what side you are trying to find. If you are looking for the side across from the angle, the formula is sine(angle)=opposite side divided by hypotenuse. If you are looking for the side adjacent to the angle, the formula is cosine(angle)=adjacent side divided by hypotenuse. Hope this helps!
How do you find the hypotenuse with a cosine and or sine?
For a right angle triangle:- hypotenuse = adjacent/cosine or hypotenuse = opposite/sine
To find the cosine of an angle in a right triangle divide the adjacent by the?
hypotenuse.
Can you find the hypotenuse of a right triangle when only one side length is known and all three angles?
Yes. You will need to use trigonometry. sin (angle) = opposite/hypotenuse cos (angle) = adjacent/hypotenuse tan (angle) = opposite/adjacent
How do you find the width and length of a rectangle knowing ONLY the diagonal and its angle?
By using the trigonometric ratios of Sine and Cosine. The diagonal forms the hypotenuse of a right angled triangle with the length and width of the rectangle forming the other two sides of the triangle - the adjacent and opposite sides to the angle. Then: sine = opposite/hypotenuse → opposite = hypotenuse x sine(angle) cosine = adjacent/hypotenuse → adjacent = hypotenuse x cosine(angle)
The cosine of an angle equals the ratio of the?
adjacent side to the hypotenuse in a right triangle.
What does tan equal in trigonometry?
Tan = o/a Tangent of an angle = opposite over adjacent. Here are the other Trig. functions. SINe(angle) = opposite/hypotenuse COSine(angle) = adjacent/hypotenuse COTangent(angle) = adjacent/opposite Cosecant(CSC)(angle) = hypotenuse/oppositre SECant(angle) = hypotenuse/ adjcent.
If you divide length of the adjacent side of an angle in a right triangle by the length of the hypotenuse what value do you get?
Adjacent Side / Hypotenuse = Natural Cosine of the Angle. For example: Adjacent Side=20cm / Hypotenuse=40cm = 0.5 Look up 0.5 in a Natural Cosine table and look back to the degrees on the left margin, you'll find 60... 60 degrees is the angle between the hypotenuse and the adjacent side.
Why Hypotenuse is not called Adjacent?
When considering an angle in a right angled triangle, the adjacent is the short side next to the angle and the hypotenuse is the long one (which will be opposite the right angle)
How do you determine sine in a right triangle?
The sine of an angle in a right triangle is opposite/hypotenuse, where opposite is the only side that is not adjacent to the angle you want to find the sine of, and the hypotenuse is the side opposite the right angle in the triangle. Just find opposite/hypotenuse.
How do you find the unknown side of a right triangle given the length of another side and an angle?
opposite/hypotenuse = sin(x) adjacent/hypotenuse = cos(x) opposite/adjacent = tan(x) where 'x' is the angle in question.
What is the ratio of hypotenuse to the adjacent side?
In a right triangle, the ratio of the hypotenuse to the adjacent side is defined by the cosine of the angle adjacent to the side. Specifically, if θ is the angle, the ratio can be expressed as ( \frac{hypotenuse}{adjacent} = \frac{1}{\cos(θ)} ). Thus, the ratio depends on the specific angle and varies accordingly.
