You can put this solution on YOUR website! Hi tan(330°) = sin (330°)/cos(330°) = (cosx,sinx) summary:

Tan 330 Degrees: Introduction to Tangent. Trigonometry is a branch of mathematics that deals with the relationships between angles and the sides of triangles. In this lesson, we will explore the concept of tangent and specifically focus on calculating the value of tan 330 degrees. Before we dive into this specific topic, let's quickly review ...

To find the value of tan 330°, we can use the unit circle to determine the reference angle. In the unit circle, 330° is in the fourth quadrant, so we can find the reference angle by subtracting 360° from 330°, which gives us a reference angle of 330° - 360° = 30°.

Dec 8, 2017 · To find the exact value of tan 330°, use the relationship between angles and the tangent function, yielding -0.577 as the answer. Find the exact value: To find tan 330°, we can use the fact that tan(-30°) = tan(360° - 30°) = tan(330°). Looking at the tangent values provided, we have tan(-30°) = -0.577. Therefore, tan 330° = -0.577.

Sep 27, 2023 · The tangent of 330 degrees can be found by using the** unit circle**. The value of tangents repeats every 180 degrees, so we can find the reference angle by subtracting 330 degrees from 360 degrees, giving us 30 degrees.

Mar 9, 2025 · tan 3 0 ∘ = 3 3 Consider the Sign of Tangent in the Fourth Quadrant: In the fourth quadrant, the tangent function is negative. Therefore, we have: tan 33 0 ∘ = − tan 3 0 ∘. Calculate tan 33 0 ∘: Now, we can find the value of tan 33 0 ∘ using the result we obtained from the reference angle: tan 33 0 ∘ = − 3 3 So, the correct ...

Mar 6, 2025 · Therefore, tan 33 0 ∘ will have the same magnitude as tan 3 0 ∘ but will be negative. Calculate tan 3 0 ∘: The tangent of 3 0 ∘ is a known value: tan 3 0 ∘ = 3 1 . Simplify the Tangent Value: We often write 3 1 as 3 3 by rationalizing the denominator.

Feb 24, 2025 · To find tan 33 0 ∘, let's take a step-by-step approach. Understand the angle's position: The angle 33 0 ∘ is in the fourth quadrant of the unit circle. Angles in the fourth quadrant have a positive cosine but a negative sine. Reference angle: The reference angle for 33 0 ∘ is 36 0 ∘ − 33 0 ∘ = 3 0 ∘.

Feb 26, 2020 · To find the value of \tan 330^, we can analyze its position on the unit circle. Locate the Angle: The angle 330^ is in the fourth quadrant, as it is between 270^ and 360^. Reference Angle: The reference angle for 330^ can be found by subtracting it from 360^: Reference Angle = 36 0 − 33 0 = 3 0.

In this lesson, we will explore the sine of 330 degrees (sin 330 ∘) and how to calculate it. Introduction to the Sine Function The sine of an angle in a right-angled triangle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.