If sin θ = tan θ, that means cos θ is 1 (since tan θ = (sin θ)/(cos θ))
(Usually in and equation a/b=a, b doesn't have to be 1 when a is 0, but cos θ = 1 if and only if sin θ = 0)
The angles that satisfy cos θ = 1 is 2n(pi) (or 360n in degrees)
When n is an integer.
But if sin θ = tan θ = θ, the only answer is θ = 0.
Because sin 0 is 0 and cos 0 is 1 and tan 0 is 0
The only answer would be when θ = 0.
Cosine squared theta = 1 + Sine squared theta
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.
sin-1 (0.91) = about 1.14328 radians.
The tangent of an angle theta is defined as sine(theta) divided by cosine(theta). Since the sine and cosine are Y and X on the unit circle, then tangent(theta) is Y divided by X. The tangent of a function at a point is the line going through that point which has slope equal to the first deriviative of the function at that point.
Sine is a law in math that helps you find the length or angles in a triangle.Sin Equals:1/YLaw of Sines:Sin A/a = SinB/b = SinC/cCosine, tangent, cotangent, secant and cosecant are also used to find sides and angles of a triangle.
Yes. (Theta in radians, and then approximately, not exactly.)
If sine theta is 0.28, then theta is 16.26 degrees. Cosine 2 theta, then, is 0.8432
We'll answer your question as asked. What was asked was, "What is the sine of the angle (the angle theta) if the angle measures 0.4384?" That's the way the question reads. That's a pretty small angle. Less than one degree. That angle has about 0.00765 as the sine. Perhaps the question was "What is the angle of theta if its sine is 0.4384?" In the event that this was really your question, if sine theta equals 0.4384, arcsine theta is about 23.00 degrees. Here we use the term arcsine. If we see "arcsine 0.4384" in a text, what it means is "the angle whose sine is 0.4384" in math speak.
-1 < sine(theta) < 1 so sine(theta) cannot be 3125
Yes, it can. If you plot theta and sin(theta) on the same graph, you will see where they intersect. I do not know of an analytical expression for this point; I think only numerical results are possible.
For such simplifications, it is usually convenient to convert any trigonometric function that is not sine or cosine, into sine or cosine. In this case, you have: sin theta / sec theta = sin theta / (1/cos theta) = sin theta cos theta.
Your question is insufficiently precise, but I'll try to answer anyway. "Sine squared theta" usually means "the value of the sine of theta, quantity squared". "Sine theta squared" usually means "the value of the sine of the quantity theta*theta". The two are not at all the same.
Theta is just a Greek letter used to denote measurement of angle. Sine is a trigonometric function, i.e., the ratio of the side opposite to the angle theta to the hypotenuse of the triangle. So Sine theta means the value of sine function for angle theta, where theta is any angle.
Cosine squared theta = 1 + Sine squared theta
The sine theta of an angle (in a right triangle) is the side opposite of the angle divided by the hypotenuse.
cosine (90- theta) = sine (theta)
That is not a question.