Question

Given that sinθ= 7/ 5√10 cotθ is negative, determine

θ and cotθ. Enter the angle θ in degrees from the interval
[0°,360°). Write the exact answer. Do not round.

Answer 1

To determine the value of θ and cotθ, we can use the given information and inverse trigonometric functions.

Step-by-step explanation:

To determine the value of θ and cotθ, we need to use the given information that sinθ = 7/5√10 and cotθ is negative.

We know that cotθ is the reciprocal of tanθ, so if cotθ is negative, then tanθ is negative in the interval [0°, 360°].

We can use the inverse tan function on a calculator to find tanθ, and then find the angle θ in the interval [0°, 360°]. Finally, we can find cotθ by taking the reciprocal of tanθ.