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Sine, cosine, and tangent all assume you have a right triangle (where one angle is 90 degrees). Each function operates on one number, which represents another angle (call it x) in the triangle. We write these functions as sin(x), cos(x), and tan(x).
Now, we're going to give names to each of the 3 sides. The longest side (the one not touching the right angle) is the hypotenuse. The side touching our angle x, but not the hypotenuse, is the adjacent side. The left-over side is the only one not touching our angle x, which we call the opposite side. We call the length of the hypotenuse h, the length of the adjacent side a, and the length of the opposite side o.
Then sin(x)=o/h
cos(x)=a/h
tan(x)=o/a.
People use the made-up word "sohcahtoa" ("SOAK-a-TOE-ah") to remember this. each third of the word stands for a different function: the letters "soh" stand for "sine" is "opposite" over "hypotenuse", and similarly for "cah" and "toa".
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Which angle has a negative sine and a positive cosine?
All the angles in 4th quadrant have positive cosine and negative sine e.g. 280,290,300,310...etc.
Is 35 degrees cos or sin?
Every angle has a sine and a cosine. The sine of 35 degrees is 0.57358 (rounded) The cosine of 35 degrees is 0.81915 (rounded)
What is the tangent if the sine is three fifths?
If the sine is 3/5, the tangent must be 3/4, and the triangle must be a 3-4-5 Pythagorean triangle.
How do you find the sin of a triangle?
Sin is opposite over hypotenuse. Just think of this to help you: SOH-CAH-TOA Sine = opposite over hypotenuse Cosine = adjacent over hypotenuse Tangent = opposite over adjacent Hope that helps you.
How do you solve 5SecX plus 3CosecX equals 0 with a Range 0 To 360 Degrees?
Well, let's see.secant = 1/cosinecosecant = 1/sine5/cosine + 3/sine = 0Multiply both sides of the equation by sine :5 sin/cos + 3 = 0But sin/cos = tangent .5 tan(x) + 3 = 05 tan(x) = -3tan(x) = -0.6'x' is the angle whose tangent is -0.6 .
How does the tangent function relate to sine and cosine?
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
How do you find sine cosine and tangent of 210 degrees?
Sine = -0.5 Cosine = -0.866 Tangent = 0.577
Do you need a right traingle to use sine cosine and tangent?
Yes, sine, cosine, tangent definitions are based on right triangles
What is the relationship between the tan and cot?
Cotangent is 1 / tangent. Since tangent is sine / cosine, cotangent is cosine / sine.
How do you find an angle using sine cosine tangent?
If you know the angle's sine, cosine, or tangent, enter it into the calculator and press <inverse> sine, cosine, or tangent. On MS Calc, in Scientific Mode, using Degrees, enter 0.5, then check Inv and the press sin. You should get 30 degrees. The other functions work similarly.
Where to use sine and cosine in physics?
The sine, cosine and tangent are used to find the degrees of a right angle triangle.
The laws of sine cosine and tangent are used where?
in trigonometry
Does tangent of x equal cosine divided by sine?
No, it does not.
What jobs use sine cosine and tangent?
Trigonometry
How do you find 2 missing sides of a right 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.
How do you work out the angles in a triangle with only 3 sides and no angles?
use the inverse sine or cosine or tangent
The tangent of an angle equals the ratio of the?
Sine of the angle to its cosine.
