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What are sine and cosine functions?
Sine allows us to find out what a third side or an angle is using the equation sin(x) = opposite over hypotenuse (x being the angle). Cosine has the same function but instead uses the equation cosine(x)= opposite over adjacent
Cosine 35 degrees sine 55 degrees plus sine 35 degrees cosine 55 degreees?
cos(35)sin(55)+sin(35)cos(55) If we rewrite this switching the first and second terms we get: sin(35)cos(55)+cos(35)sin(55) which is a more common form of the sin sum and difference formulas. Thus this is equal to sin(90) and sin(90)=1
What is Sin cosine and tangent?
Sin, cosine, and tangent are considered the three main of trigonometry, commonly written as sin, cos, and tan. sin(θ) = O/H cos(θ) = A/H tan(θ) = O/A Where O is opposite Where H is Hypotenuse Where A is Adjacent To assist further in understanding: http://www.mathsisfun.com/sine-cosine-tangent.html
How do you work out missing angles in a triangle?
The 'best' conditions for doing this is when you have two angles... add them together and the difference between their total and 180 degrees is the magnitude of the remaining angle. Otherwise, if you have one angle and the lengths of two sides you can use the sine rule. This states that the length of each side, divided by the sine of the angle opposite it, is equal to the length of any other side, divided by the sine of the angle opposite it - or..... a/sin A = b/sin B = c/sin C Or, if you don't have a matching angle and side, you can use the cosine rule. This says that a2 = b2 + c2 - 2bc cosA Now you have an angle and the side opposite it, and you can use the sine rule above.
How do you find an angle when you know one other angle and two of the sides of a triangle?
If these two sides are opposite to these angles, and you know one of the angles, you can use the Law of Sines to find the other angle. For example, in the triangle ABC the side a is opposite to the angle A, and the side b is opposite to the angle B. If you know the lengths of these sides, a and b, and you know the measure of the angle B, then sin A/a = sin B/b multiply by a to both sides; sin A = asin B Use your calculator to find the value of arcsin(value of asin b), which is the measure of the angle A. So, Press 2ND, sin, value of asin B, ).
