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Q: What careers use the law of sine and cosine?
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How do you find the length of a side in a triangle that is not a right triangle?

Use either the Sine or Cosine rules depending on the information you know about the triangle.


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 find a measurement of an angle in a triangle when you only know the side length?

If you do not know only a side length you cannot. If you know all three side lengths then you can use the cosine rule. You can continue using the cosine rule for the other two angles but, once you have one angle, it is simpler to use the sine rule.


When is it better to use the sine function and when is it better to use the cosine function when modeling sinusoidal behavior?

The only difference is a phase shift of pi/2 radians (90 degrees), so there is no aprticular advantage in either.


When do i use negative sin cos or tan?

The inverse (negatives) of sine, cosine, and tangent are used to calculate the angle theta (or whatever you choose to name it). Initially it is taught that opposite over hypotenuse is equal to the sine of theta sin(theta) = opposite/hypotenuse So it can be said that theta = sin-1 (opp/hyp) This works the same way with cosine and tangent In short the inverse is simply what you use when you move the sin, cos, or tan to the other side of the equation generally to find the angle

Related questions

Where to use sine and cosine in physics?

The sine, cosine and tangent are used to find the degrees of a right angle triangle.


Do you need a right traingle to use sine cosine and tangent?

Yes, sine, cosine, tangent definitions are based on right triangles


What jobs use sine cosine and tangent?

Trigonometry


How do you know when to use sine over cosine or cosine over sine?

You can choose either or but tangent which is sin/cos seems to be the most common way.


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.


When to use sin and cos.?

The sine and cosine were originally developed for use in surveying. They provided a way to measure the distance across lakes and around mountains. Soon they were found to be useful in navigation. The sine was used to calculate pi. When electrical measurements were made, the sine law was used. If you want to know when to use the sine and when to use the cosine, you will need to get a trig book, a physics book, an astronomy book, a sailing book, and a few other books and read them all.


Does acoustics use trigonometry?

Yes, because all sound waves can be modelled as sine (or cosine) waves, or combinations of sine waves.


How do you find theta for right triangle?

You can use your trigonometric functions (sine, cosine, and tangent).


What does cosine pair 80 degrees with and how do you get it?

sine 10. Use the cofunction with the complementary angle.


How do you solve for a triangle with two angles but no lengths?

you can use the sine, cosine, tangent formula.


How to generate multi component sine wave signal by using matlab program?

Generating Sine and Cosine Signals (Use updated lab)


How can i find out the hypotenuse if i only have 1 side and an angle?

Use the appropriate sine or cosine ratio.