
Why are there 2 pi radians in a circle? - Socratic
2015年8月30日 · It is not arbitrary, but it is because of the definition of radian measure. One definition says the radian measure of angle theta is the ratio of arc length s to radius r when …
Why sometimes in the trigonometric equations in the answers
2018年5月23日 · 2 n pi for sin(x) and cos(x) n pi for tan(x) It depends on the period of the trigonometric function that we're dealing with. The period of sin(x) and cos(x) is 2 pi, so if we …
When do you put +k.pi and when +2pi.k? - Socratic
2018年4月8日 · For the sin and cos functions, add 2kpi Exp: cos x = 1/2 x = pi/3 + 2kpi For the tan and cot functions, add pi.
How do you prove that cot^2 (pi/7)+cot^2 ( (2pi)/7)+cot^2
2018年3月16日 · #cot^2(pi/7)+cot^2((2pi)/7)+cot^2((3pi)/7)# #=csc^2(pi/7)+csc^2((2pi)/7)+csc^2((3pi)/7)-3# …
Double Angle Identities - Trigonometry - Socratic
You would need an expression to work with. For example: Given #sinalpha=3/5# and #cosalpha=-4/5#, you could find #sin2 alpha# by using the double angle identity
Amplitude, Period and Frequency - Trigonometry - Socratic
Frequency and period are related inversely. A period #P# is related to the frequency #f# # P = 1/f#. Something that repeats once per second has a period of 1 s.
How do you prove that the circumference of a circle is #2pir#?
2015年2月27日 · Basically this is a definition thing. pi is defined to be the ratio of the circumference of a circle over its diameter (or 2 times its radius). This ratio is a constant since …
What is the integral of sin (x) dx from 0 to 2pi? - Socratic
2015年7月4日 · Using the definition of the integral and the fact that sinx is an odd function, from 0 to 2pi, with equal area under the curve at [0, pi] and above the curve at [pi, 2pi], the integral is …
How do you find which quadrant each question is referring to
2018年3月18日 · While pi < a < (3pi)/2 refers to Q3, (3pi)/2 < B < 2pi refers to Q4 Cartesian plane is divided into four quadrants. In first quadrant we have both abscissa and ordinates positive. …
How do you verify sin(2pi-theta)=-sintheta? - Socratic
2018年3月8日 · See Below Use the Property: sin(x-y)=sinxcosy-cosxsiny LHS: sin(2pi-theta) =sin2picostheta-cos2pisintheta =0*costheta-1*sintheta =0-sin theta =-sintheta =RHS