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The side opposite angle A is 6 meters and the side adjacent angle A is 8 meters How long is the hypotenuse?
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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.
What are the classification of angle according to sides?
Cosine = adjacent/hypotenuseSine = opposite/hypotenuseTangent = opposite/adjacentSecant = hypotenuse/adjacentCosecant = hypotenuse/oppositeCotangent = adjacent/opposite
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)
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)
If I have a right triangle The side opposite angle A is 6 meters and the side adjacent angle A is 8 meters How long is the hypotenuse?
The hypotenuse is: 10
The sine ratio of an angle is the opposite side over the adjacent side?
Opposite over hypotenuse. Sin=opposite/hypotenuse cos=adjacent/hypotenuse tan=opposite/adjacent
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.
What are the classification of angle according to sides?
Cosine = adjacent/hypotenuseSine = opposite/hypotenuseTangent = opposite/adjacentSecant = hypotenuse/adjacentCosecant = hypotenuse/oppositeCotangent = adjacent/opposite
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)
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)
What are the basic trigonometric ratios?
Sine(Sin) Cosine(Cos) Tangent(Tan) ---- -Sin of angle A=opposite leg of angle A / hypotenuse -Cos of angle A= Adjacent leg of angle A / Hypotenuse -Tan of angle A= opposite leg of angle A / Adjacent lef of angle A
What is the sin cos tan trick?
Sine is opposite side of angle over hypotenuse. Cosine is adjacent side of angle over hypotenuse. Tangent is the opposite side over the adjacent side.
Definition of the 6 trigonometric functions?
The six main trigonometric functions are sin(x)=opposite/hypotenuse cos(x)=adjacent/hypotenuse tan(x)=opposite/adjacent csc(x)=hypotenuse/opposite cot(x)=adjacent/opposite sec(x)=hypotenuse/adjacent Where hypotenuse, opposite, and adjacent correspond to the three sides of a right triangle and x corresponds to an angle in that right triangle.
If the side opposite angle A of a right triangle is 30 meters and the hypotunuse is 90 meters what is the value of the sin of angle round to the nearest hundredth?
Sine = Opposite / Hypotenuse = 30 / 90 = 1/3 ~= 0.33 To remember the ratios, I was taught 2 mnemonics: Each letter of SOHCAHTOA represents a ratio: Sin = Opposite / Hypotenuse Cos = Adjacent / Hypotenuse Tan = Opposite / Adjacent Prior to secondary school where I was taught that, I was taught this rhyme, which I much prefer: Two Old Arabs Soft Of Heart Coshed Andy Hatchett Again, each initial letter shows the ratios. Tan = Opposite / Adjacent Sin = Opposite / Hypotenuse Cos = Adjacent / Hypotenuse
How do you find the hypotenuse with a cosine and or sine?
For a right angle triangle:- hypotenuse = adjacent/cosine or hypotenuse = opposite/sine
