cos(t) = 0.92568
therefore t = cos-1(0.92568) = 0.3880.
If the answer comes out as 22.23, the calculator is set to degrees. Simply multiply that result by pi/180 to convert to radians (or reset the calculator to work in radians). Excel, for example, works in radians.
From that primary value you get
t = 0.3880 + 2*k*pi
and
t = 2*k*pi - 0.3880
for all integer values of k.
3*pi/4, 7*pi/4, 11*pi/4 and 15*pi/4 radians or2.3562, 5.4978, 8.6394 and 11.7810 radian (approx).
cos(theta) = 0.7902 arcos(0.7902) = theta = 38 degrees you find complimentary angles
Just did this in my trig class yesterday. Arc length = radius * theta(radians) Circumference of Earth = radius of earth * 2pi Note: The arc length is the circumference of the Earth only in this case because theta is equal to 2pi.
tan(theta) = 1 then theta = tan-1(1) + n*pi where n is an integer = pi/4 + n*pi or pi*(1/4 + n) Within the given range, this gives theta = pi/4 and 5*pi/4
1.25
No.
Cotan(theta) is the reciprocal of the tan(theta). So, cot(theta) = 1/2.
3*pi/4, 7*pi/4, 11*pi/4 and 15*pi/4 radians or2.3562, 5.4978, 8.6394 and 11.7810 radian (approx).
The area of a sector is 0.5*r^2*theta square units where r is the radius measured in linear units and theta is the angle (measured in radians).
-0.5736
The equations for projectiles shouldn't just have theta, they should have sin(theta) or cos(theta). As long as you have your calculator set in the right mode, either will work when you evaluate sin or cosine. Example: Say you have a projectile launched at 30 degrees above horizontal. In order to find the y velocity, you will have to calculate sin(30) with you calculator in degree mode. If instead you called this angle pi/6 (the same angle, just in radians), you could enter sin(pi/6) in your calculator in radians mode and get the same answer.
cos(theta) = 0.7902 arcos(0.7902) = theta = 38 degrees you find complimentary angles
theta (angle) _____ X pi r squared 360 Note that if the angle is measured in radians, then you only need to do Θ*r². A full circle is 360° or 2*pi radians
2 sin (Θ) + 1 = 0sin (Θ) = -1/2Θ = 210°Θ = 330°
You should supply more information.
you have to do the arcsin which is sin-1 on your calculator. i have not met anyone in my life who can do sin or arcsin in their head. not even my college teachers. your theta is equal to 20degrees
Just did this in my trig class yesterday. Arc length = radius * theta(radians) Circumference of Earth = radius of earth * 2pi Note: The arc length is the circumference of the Earth only in this case because theta is equal to 2pi.