What does theta have to do with anything? Assuming that you meant b instead of theta, if tan(b) = -√3, then b is in quadrant II or quadrant IV.CrossFit415 said:How would I find cos for tan when..
Tan b = (-√3)
Theta lies in quadrant iii
CrossFit415 said:Sin b would equal (-√3) / 2
So Cos b would equal -1 / 2?
To find the cos for tan when you know the value of tan, you can use the reciprocal identity for cosine and tangent. Simply take the value of tan and divide it into 1 to find the value of cos.
Yes, you can find cos for tan without using a calculator by using the unit circle and the Pythagorean theorem. By finding the adjacent and hypotenuse sides of a right triangle with a given angle, you can use the cosine function to find the value of cos.
If the given angle is not a special angle (such as 30°, 45°, or 60°), you can use a calculator or trigonometric tables to find the value of cos for tan. Alternatively, you can use the inverse tangent function to find the angle and then use the reciprocal identity to find the value of cos.
The quotient identity for cosine and tangent states that cosθ = 1/tanθ. This means that to find the value of cos for tan, you simply need to divide 1 by the value of tan.
Yes, you can use the cosine function to find cos for tan. Since the cosine function is the reciprocal of the tangent function, you can use the inverse cosine function to find the angle and then use the reciprocal identity to find the value of cos.