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Is tan theta 0 possible?
Prove that the general solution of tan θ = 0 is θ = nπ, n ∈ Z. Solution: According to the figure, by definition, we have, Tangent function is defined as the ratio of the side perpendicular divided by the adjacent.
What is the value of tan theta 0?
0
In trigonometry, the value of tan 0 is 0.
What does it mean if sin theta 0?
The exact value of arcsin(0) is 0 . The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from π to find the solution in the second quadrant.
Where does θ lie if Tanθ 0 and Sinθ 0?
∴ θ lies in the 3rd quadrant.
Why is sin 60 and sin 120 the same?
The sin 120-degrees value can be identified using either unit circle or with the help of other trigonometric angles such as 60, 180 degrees and so on. By looking at the diagram given above, the value of sin 60 is equal to the value of sin 120. It means that, sin 60 = sin 120 = √3/2.
At what angle is tan theta 0?
| θ | sin θ | tan θ |
|---|---|---|
| 0° | 0 | 0 |
| 90° | 1 | undefined |
| 180° | 0 | 0 |
| 270° | −1 | undefined |
What is tan theta equal to?
or, tan theta = sin theta/cos theta (here, theta is an angle) The sine of an angle is equal to the length of the opposite side divided by the length of the hypotenuse side, while the cosine of an angle is the ratio of the adjacent side to the hypotenuse side. Hence, sin x = Opposite Side/Hypotenuse Side.
What is equal to Tanθ?
⇒ θ = nπ + ∝, where n ∈ Z (i.e., n = 0, ± 1, ± 2, ± 3,…….) Hence, the general solution of tan θ = tan ∝ is θ = nπ + ∝, where n ∈ Z (i.e., n = 0, ± 1, ± 2, ± 3,…….) Note: The equation cot θ = cot ∝ is equivalent to tan θ = tan ∝ (since, cot θ = 1/tan θ and cot ∝ = 1/tan ∝).
Is tan positive or negative?
tan(90°)=10=undef. Note that: for angles with their terminal arm in Quadrant II, since sine is positive and cosine is negative, tangent is negative. for angles with their terminal arm in Quadrant III, since sine is negative and cosine is negative, tangent is positive.
Where is sin 0 on unit circle?
On the unit circle, the x-coordinate at each position is the cosine of the given angle, and the y-coordinate is the sine. For θ=0 , the rightmost point, the coordinate pair is (1, 0). The y-coordinate is 0, so sin(0)=0 .
What is the value sin 120?
Answer: The value of sin 120° is √3/2.
How do you solve sin Theta?
To solve, isolate the sine of the unknown angle by multiplying both sides of the equation by the length of angle theta’s opposite side. For example: sin A/a = sin B/b becomes (b * sin A)/a = sin B. In a calculator, given side a = 5, side b = 7, and angle A = 45 degrees, this is seen as SIN^-1((7*SIN(45))/5).
What are the six trigonometric identities?
The six trigonometric functions are called sine, cosine, tangent, cosecant, secant, and cotangent. Their domain consists of real numbers, but they only have practical purposes when these real numbers are angle measures. Consider an angle θ in standard position. Take a point P anywhere on the terminal side of the angle.
What is SEC theta equal to?
So, as an answer to your question, sec theta is equal to 5/4.
What is cos theta equal to?
Theta, cosine of theta is equal to negative one when we’re at this point on the unit circle. So that happens when we get to pi radians, and then it won’t happen again until we get to two pi, three pi radians, three pi radians.