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The sine of 45 degrees is equal to (\frac{\sqrt{2}}{2}). This value arises from the properties of a 45-45-90 triangle, where both legs are equal and the hypotenuse is (\sqrt{2}) times the length of each leg. Consequently, the sine function, which is defined as the ratio of the opposite side to the hypotenuse, yields this result for 45 degrees.
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How do you calculate Sin theta equals 13 times sin 32 degrees divided by 8?
sin (theta) = [13* sin (32o)]/8 = 13*0.529919264/8 = 0.861118804 [theta] = sin-1 (0.861118804) [theta] = 59.44o
Is theta greater than 45 degrees?
To determine if theta is greater than 45 degrees, you need to know the specific context or value of theta. If theta is an angle measured in degrees and is specifically stated as being greater than 45, then yes, it is greater. Otherwise, without additional information, it's impossible to conclude definitively.
A 45-45-90 triangle has the hypotenuse of 1. what is the length of one of its legs?
sin theta = opp/hyp sin 45 = opp/1 opp = sin 45 = sqrt(2)/2 ~= 0.7071
What is the derivative of sin under root theta?
The derivative of (sin (theta))^.5 is (cos(theta))/(2sin(theta))
How do you change cos theta to sin theta?
One relationship is: cos(x) = sin(90° - x) if you use degrees. Or in radians: cos(x) = sin(pi/2 - x) Another relationship is the pythagorean identity.
What is the cot of a 45 degree angle?
1 cot(theta)=cos(theta)/sin(theta) cos(45 degrees)=sqrt(2)/2 AND sin(45 degrees)=sqrt(2)/2 cot(45 deg)=cos(45 deg)/sin(deg)=(sqrt(2)/2)/(sqrt(2)/2)=1
What is the sin theta of 30 degrees?
Sin theta of 30 degrees is1/2
What is the value of theta if 4sin theta is equal to 2?
4Sin(theta) = 2 Sin(Theta) = 2/4 = 1/2 - 0.5 Theta = Sin^(-1) [0.5] Theta = 30 degrees.
Sin equals 0.9?
Sin(X) = 0.9 X = Sin^(-1) 0.9 X = 64.158... degrees.
What is value of sin theta when theta equal to 13.9222?
answer is 2.34 degrees answer is 2.34 degrees
What is angle Theta if sine theta 0.03125?
Sin(theta) = 0.03125 Hence theta = ArcSin(0.03125) theta = 1.790784659... degrees.
How do you calculate Sin theta equals 13 times sin 32 degrees divided by 8?
sin (theta) = [13* sin (32o)]/8 = 13*0.529919264/8 = 0.861118804 [theta] = sin-1 (0.861118804) [theta] = 59.44o
Every angle theta between 0 and 360 degrees for which the ratio of sin theta to cos theta is -3?
108.435 degrees 288.435 degrees (decimal is rounded)
Is theta greater than 45 degrees?
To determine if theta is greater than 45 degrees, you need to know the specific context or value of theta. If theta is an angle measured in degrees and is specifically stated as being greater than 45, then yes, it is greater. Otherwise, without additional information, it's impossible to conclude definitively.
A 45-45-90 triangle has the hypotenuse of 1. what is the length of one of its legs?
sin theta = opp/hyp sin 45 = opp/1 opp = sin 45 = sqrt(2)/2 ~= 0.7071
What is the arc sine of 1.5 degrees?
if x if ArcSine 1.5 degrees means the sin(x)=1.5 but the range of the sin(theta) for all angles theta is between o and 1 inclusive. So there is no real answer.
Why does cos negative theta equals positive theta?
You must think of the unit circle. negative theta is in either radians or degrees and represents a specific area on the unit circle. Remember the unit circle is also like a coordinate plane and cos is the x while sin is the y coordinate. Here is an example: cos(-45): The cos of negative 45 degrees is pi/4 and cos(45) is also pi/4
