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What is tan20tan32 plus tan32tan38 plus tan38tan20?
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
How do you get cosine of 70 degrees?
Note: When doing trigonometry, it is highly recommeded that you have a scientific calculator at hand. Also, make sure your calculator is in Degree (D or Deg) mode and not Radian (R or Rad). To find the cosine of 70o, press 'cos', then type in 70, then press equals. You should get 0.342 (to the nearest 3 decimal places).
What is sine of 70 degrees?
sin(70 deg) = 0.9397 approx.
What is the standard position of 790?
The standard position of 790 degrees is 70 degrees anticlockwise from the positive x-axis.
A triangular plot of land has sides that measure 5 meters 7 meters and 10 meters What is the area of this plot of land to the nearest tenth of a square meter?
This is NOT a Pythagorean triangle. So we must fall back on the Cosine Rule for an agular value. Cosine Rule is a^(2) = b^(2) + c^(2) - 2bcCosA Algebraically rearranging CosA = [a^(2) - b^(2) - c^(2)] / -2bc Substituting CosA = [10^(2) - 7^(2) - 5^)2)] / -(2(7)(5)) CosA = [100 - 49 - 25]/-70 CosA = 26/-70 CosA = -0.371428571... A = Cos^(-1) -0.371428573 A =111.8037 481 ... degrees. - Now area of triangle is 0.5 X Base X height The height is = 7Sin(111.8037481...) Hence are is 0.5(5)(7)Sin(111.8037481...) Area = 16.248... m^(2)
What is 70 plus 70 equals?
It is 140.
4.48 plus 70 equals?
4.48+70 equals to 74.48. Thank you
What is 67 plus 3 equals?
67 plus 3 equals 70.
What is 6 plus 12 plus 12 plus 16 plus 24 equals?
it equals 70
What is 70 plus 490 equals?
70 + 490 = 560
70 plus 55 plus 55 equals?
180
70 plus 90 plus 30 equals?
190
What is 70 plus 75 equals?
145
What plus what equals 79.5?
70 + 9.5
What is 90 plus 70 plus 60 plus 80 plus 90 equals?
390
What is 12 plus 3 plus 21 plus 2 plus 32?
It equals 70
10 plus 30 equals 70?
30
