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If Sin(theta) = 1/3 and cos(theta) < 0, find the value(s) for tan(theta)
How do I do this? Thanks.
If Sin(theta) = 1/3 and cos(theta) < 0, find the value(s) for tan(theta)
404 said:How do I do this? Thanks.
Sine, cosine, and tangent are all trigonometric functions used to calculate the relationship between the sides and angles of a triangle. Sine (sin) is the ratio of the opposite side to the hypotenuse, cosine (cos) is the ratio of the adjacent side to the hypotenuse, and tangent (tan) is the ratio of the opposite side to the adjacent side.
To solve for missing sides or angles in a triangle using trigonometry, you can use the sine, cosine, or tangent function depending on what information you have. If you know two sides and the included angle, you can use the Law of Cosines. If you know two angles and a side, you can use the Law of Sines. If you know two sides and the opposite angle, you can use the Law of Tangents.
Yes, trigonometry is used in various fields such as engineering, navigation, physics, architecture, and astronomy. It is used to calculate distances, heights, and angles in real-life scenarios.
The unit circle is a circle with a radius of 1 unit. In trigonometry, it is used to define the values of sine, cosine, and tangent for any angle. The x-coordinate of a point on the unit circle represents the cosine value and the y-coordinate represents the sine value for that angle.
One way to remember the trigonometric ratios is by using the mnemonic "SOH-CAH-TOA", where "SOH" stands for "Sine is Opposite over Hypotenuse", "CAH" stands for "Cosine is Adjacent over Hypotenuse", and "TOA" stands for "Tangent is Opposite over Adjacent". Another way is by practicing and using them frequently in problem-solving.