2 sin(x) + 1 = 0
2 sin(x) = -1
sin(x) = -1/2
x = 210° and 330°
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
The answer depends on what theta represents!
tan2(theta) + 5*tan(theta) = 0 => tan(theta)*[tan(theta) + 5] = 0=> tan(theta) = 0 or tan(theta) = -5If tan(theta) = 0 then tan(theta) + cot(theta) is not defined.If tan(theta) = -5 then tan(theta) + cot(theta) = -5 - 1/5 = -5.2
Approximately 4.57 degrees If you mean what degree angle yields an 8% grade, then you would solve the problem as follows: Construct a right triangle with one leg equal to 8 (the leg opposite the angle whose measurement you are trying to find) and the other leg equal to 100. The grade of the incline is then 8/100=8%. If the measure of the angle is theta, then tan(theta)=8/100, and theta=arctan(8/100), or approximately 4.57 degrees
The inverse (negatives) of sine, cosine, and tangent are used to calculate the angle theta (or whatever you choose to name it). Initially it is taught that opposite over hypotenuse is equal to the sine of theta sin(theta) = opposite/hypotenuse So it can be said that theta = sin-1 (opp/hyp) This works the same way with cosine and tangent In short the inverse is simply what you use when you move the sin, cos, or tan to the other side of the equation generally to find the angle
No.
Cotan(theta) is the reciprocal of the tan(theta). So, cot(theta) = 1/2.
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
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
cos(theta) = 0.7902 arcos(0.7902) = theta = 38 degrees you find complimentary angles
2 sin (Θ) + 1 = 0sin (Θ) = -1/2Θ = 210°Θ = 330°
You should supply more information.
-0.5736
2sin(y) = 2x/sqrt(1+x^2)
The answer depends on what theta represents!
1.25
tan theta = sqrt(2)/2 = 1/sqrt(2).