Tan(120) = Sin(120) / Cos(120) = [sqrt(3)/ 2 ] / [ -1/2]
[sqrt(3)/ 2 ] / [ -1/2]
Division of fractions.
[sqrt(3) / 2 ] X [ -2/1]
Cancel down by '2'
sqrt(3) / -1 =
Tangent(theta) is sine over cosine, or y over x. x is 120. Theta is 32 and 37. y1 is height of cliff, and y2 is height of cliff plus flagpole.Tan(32) = y1 / 120, so y1 = 120 tan(32) = 75.Tan(37) = y2 / 120, so y2 = 120 tan(37) = 90.Height of flagpole is y2 - y1 = 90 - 75 = 15.All results rounded to nearest integer.
The comparative degree of "tan" is "tanner." This form is used to compare the tan color or skin tone of one person or object to another. For example, you might say, "She is tanner than her sister."
If the angles are measured in degrees or gradians, then: tan 3 > tan 2 > tan 1 If the angles are measured in radians, then: tan 1 > tan 3 > tan 2.
This may not be the most efficient method but ... Let the three angle be A, B and C. Then note that A + B + C = 20+32+38 = 90 so that C = 90-A+B. Therefore, sin(C) = sin[(90-(A+B) = cos(A+B) and cos(C) = cos[(90-(A+B) = sin(A+B). So that tan(C) = sin(C)/cos(C) = cos(A+B) / sin(A+B) = cot(A+B) Now, tan(A+B) = [tan(A)+tan(B)] / [1- tan(A)*tan(B)] so cot(A+B) = [1- tan(A)*tan(B)] / [tan(A)+tan(B)] The given expressin is tan(A)*tan(B) + tan(B)*tan(C) + tan(C)*tan(A) = tan(A)*tan(B) + [tan(B) + tan(A)]*cot(A+B) substituting for cot(A+B) gives = tan(A)*tan(B) + [tan(B) + tan(A)]*[1- tan(A)*tan(B)]/[tan(A)+tan(B)] cancelling [tan(B) + tan(A)] and [tan(A) + tan(B)], which are equal, in the second expression. = tan(A)*tan(B) + [1- tan(A)*tan(B)] = 1
There is not much that can be done by way of simplification. Suppose arccot(y) = tan(x) then y = cot[tan(x)] = 1/tan(tan(x)) Now cot is NOT the inverse of tan, but its reciprocal. So the expression in the first of above equation cannot be simplified further. Similarly tan[tan(x)] is NOT tan(x)*tan(x) = tan2(x)
120 is an integer and not a fraction. However, it can be expressed in rational form as 120/1 which cannot be simplified.
60/120
0.8 of 120 is an integer, not a fraction.
120 is an integer and not a fraction. However, it can be expressed in rational form as 120/1 which cannot be simplified.
34/120
Since the numerator of the fraction is prime, and not a factor of the denominator, the proper fraction 109/120 is already expressed in its simplest form.
Expressed in its simplest form, 120/30 is equal to 4, or, expressed as a fraction, 4/1.
It is: 120/100 or 6/5 in its simplest form
120% simplifies to: 1 1/5(improper fraction 6/5)
120% = 120/100 = improper fraction 6/5 = 1 1/5
It is: 120/360 or 1/3 in its simplest form
It is 120/1000 or 3/25 in its simplest form