What are the values of theta of which cot theta is undefined?
Every multiple of 180 degrees, beginning with zero.
This stands for side-side-side. It means if two triangles have three sides that are the same length, than they triangles are congruent.
It depends if 1 plus tan theta is divided or multiplied by 1 minus tan theta.
assuming that you mean what is theta if sin 4 theta = 0 then then theta=0, 0.25pi, 0.5pi, 0.75pi...
if not then without additional information the best answer you can get is sin4theta=sin4theta
1 knot = 1 nautocal mile per hour.
So 428 nm @ 20 knots per hour will take 428/20 = 21.4 hours.
After 12 hours, it is 20*12 = 240 nautical miles away.
Its distance East is 240*cos(1.4deg) = 239.9 nautical miles and
its distance South is 240*sin(1.4deg) = 5.9 nautical miles.
By the sine rule,
sin(C)/c = sin(B)/b
so sin(C) = 25/15*sin(32d15m) = 0.8894
so C = 62.8 deg or 117.2 deg.
Therefore, A = 180 - (B+C) = 85.0 deg or 30.5 deg
and then, using the sine rule again,
a/sin(A) = b/sin(B)
so a = sin(A)*b/sin(B) = 28 or a = 14.3
What is period as it pertains to the graph of sine and cosine?
Period is how long it takes for the sine and cosine functions to restart repeating themselves. Both have a period of 2pi (360 degrees).
Why is sine 30 the same as cosine of 60?
sin(30) = sin(90 - 60) = sin(90)*cos(60) - cos(90)*sin(60)
= 1*cos(60) - 0*sin(60) = cos(60).
Where is the DMS function on a TI-30XB Calculator?
press 2nd then click the prb button (or angle) then click 6 :D
Where is the origin of trigonometry in 18Th century?
The origin of trigonometry in the 18th century was the trigonometric knowledge at the end of the 17th century!
What is the probability that a couple with 3 children will have at least 1 girl?
The easiest way of calculating this is to find the probability that all three are boys, as this is the only arrangement that does not fit the criteria. Then work out the answer by taking this away from 1. Probability that all three are boys = 1/2 x 1/2 x 1/2 = 1/8. probability of there being at least one girl is 1 - 1/8 = 7/8 or 87.5%
What is The Latin maxim nulla poena sine lege is also known as?
The principle of legality; no act should be made criminal or punished without advance warning in the form of legislative act.
sin(theta) = 15/17, cosec(theta) = 17/15
cos(theta) = -8/17, sec(theta) = -17/8
cotan(theta) = -8/15
theta = 2.0608 radians.
Explain why tan270 degrees is undefined?
Just as at 90 degrees, it goes to infinity. That is because tangent of angle is opposite side over adjacent side. The oppsoite side gets bigger and bigger after 45 dgerees ( and in your case then after 225 degrees) until it grows beyond all bounds at 270 degrees
How does sin2x divided by 1-cosx equal 1 plus cosx?
sin2x / (1-cos x) = (1-cos2x) / (1-cos x) = (1-cos x)(1+cos x) / (1-cos x) = (1+cos x)
sin2x=1-cos2x as sin2x+cos2x=1
1-cos2x = (1-cos x)(1+cos x) as a2-b2=(a-b)(a+b)
What is the exact value of cos 30?
The radical answer is sqrt(3)/2.
(0.86602540378443864676372317075294)