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How do you solve 3 sin theta 1.5 when 0 isless than or equal to theta which is less than or equal to 4 radians?
I am assuming that the equation is 3*sin(t) = 1.5 even though the equality sign is not visible - due to the browser limitations.
Then sin(t) = 1.5/3 = 0.5
So t = sin-1(0.5) which gives the principal value of t = 0.5236.
The next value of t, in the domain, is pi - 0.5236 = 2.618 radians.
There are no further values in the specified domain.
What else can I help you with?
Given tan Theta equals negative 15 divided by 8 and 90 degrees is less than or equal to theta which is less than or equals to 180 state 5 other trigonometric ratios and determine the measure of theta?
sin(theta) = 15/17, cosec(theta) = 17/15 cos(theta) = -8/17, sec(theta) = -17/8 cotan(theta) = -8/15 theta = 2.0608 radians.
Whats the meaning of theta in the first quadrant?
It means that 0 < theta < pi/2 radians or 90 degrees.
What does negative sine squared plus cosine squared equal?
-Sin^(2)(Theta) + Cos^(2)Theta => Cos^(2)Theta - Sin^(2)Theta Factor (Cos(Theta) - Sin(Theta))( Cos(Theta) + Sin(Theta)) #Is the Pythagorean factors . Or -Sin^(2)Theta = -(1 - Cos^(2)Theta) = Cos(2)Theta - 1 Substitute Cos^(2)Thetqa - 1 + Cos^(2) Theta = 2Cos^(2)Theta - 1
If cos and theta 0.65 what is the value of sin and theta?
You can use the Pythagorean identity to solve this:(sin theta) squared + (cos theta) squared = 1.
How do you find tan-theta when sin-theta equals -0.5736 and cos-theta is greater than 0?
-0.5736
Can sine theta equals tan theta equals theta be equal for small angels?
Yes. (Theta in radians, and then approximately, not exactly.)
Can we take theta in terms of degree?
Pi radians is 180 degrees. So if you have theta in radians, multiply by 180/Pi
What is theta in terms of trigonometry?
Theta is the measure of the angle, whether in degrees or radians.
What is the length of a minor arc that has a central angle of 120 and a diameter of 10?
r*theta = where theta is the angle measured in radians.= 5*120*pi/180 = 10.472 units (approx).r*theta = where theta is the angle measured in radians.= 5*120*pi/180 = 10.472 units (approx).r*theta = where theta is the angle measured in radians.= 5*120*pi/180 = 10.472 units (approx).r*theta = where theta is the angle measured in radians.= 5*120*pi/180 = 10.472 units (approx).
Does the angle have an affect on the pendulum?
Yes. The derivation of the simple formula for the period of the pendulum requires the angle, theta (in radians) to be small so that sin(theta) and theta are approximately equal. There are more exact formulae, though.
What does the Sin of theta equal to if half of the sin of theta. what are the values of theta?
[]=theta 1. sin[]=0.5sin[] Subtract 0.5sin[] from both sides.2. 0.5sin[]=0. Divide both sides by 0.5.3. Sin[] =0.[]=0 or pi (radians)
What is the value of theta when sine of theta is 0.91?
sin-1 (0.91) = about 1.14328 radians.
Is cos theta is equal to 1?
No, not necessarily. Cosine theta is equal to 1 only when theta is equal to zero and multiples of 2 pi radians or multiples of 360 degrees. This is because cosine theta is hypotenuse over adjacent, and the ratio 1 only occurs at 0, 360, 720, etc. or 0, 2 pi, 4 pi, etc.
How do you solve the arc length given only the central angle?
To solve for the arc length when given only the central angle, you also need the radius of the circle. The formula for arc length ( L ) is given by ( L = r \theta ), where ( r ) is the radius and ( \theta ) is the central angle in radians. If the angle is provided in degrees, convert it to radians by using the formula ( \theta_{\text{radians}} = \theta_{\text{degrees}} \times \frac{\pi}{180} ). Once you have both the radius and the angle in radians, you can calculate the arc length.
Sin theta equals zero answer in radians in terms of pi?
Theta equals 0 or pi.
How do you solve theta if cos squared theta equals 1 and 0 is less than or equal to theta which is less than 2pi?
cos2(theta) = 1 so cos(theta) = ±1 cos(theta) = -1 => theta = pi cos(theta) = 1 => theta = 0
If the arc length of a sector in the unit circle is 3 radians what is the measure of the angle of the sector?
In a unit circle, the arc length ( s ) is directly equal to the angle ( \theta ) in radians. Therefore, if the arc length of a sector is 3 radians, the measure of the angle of the sector is also 3 radians.
