**Find the values of the trigonometric functions of \( t \) from the given information.**\( \sec(t) = 2 \), terminal point of \( t \) is in Quadrant IV.- \( \sin(t) = \frac{3}{2} \) ❌**Values to be found:**- \( \cos(t) = \)- \( \tan(t) = \)- \( \csc(t) = \)- \( \cot(t) = \)---**Explanation:**In the image, there is a trigonometric problem where you are given the secant of an angle \( t \), and it specifies that the terminal point lies in Quadrant IV. You need to correctly determine and fill in the values for other trigonometric functions based on this information. The provided value for \( \sin(t) \) is incorrect, as indicated by a red 'X'. To solve:1. Since \( \sec(t) = 2 \), this implies \( \cos(t) = \frac{1}{2} \) because secant is the reciprocal of cosine. 2. In Quadrant IV, sine is negative, so calculate \( \sin(t) \) properly, knowing \( \cos^2(t) + \sin^2(t) = 1 \).3. Calculate \( \tan(t) = \frac{\sin(t)}{\cos(t)} \).4. Calculate \( \csc(t) = \frac{1}{\sin(t)} \).5. Finally, find \( \cot(t) = \frac{1}{\tan(t)} \).Fill in the blanks with these computed values.

Name: **Find the values of the trigonometric functions of \( t \) from the
Uploaded: 2024-03-20T06:46:42.000Z
Channel: Bartleby
Description: **Find the values of the trigonometric functions of \( t \) from the given information.**\( \sec(t) = 2 \), terminal point of \( t \) is in Quadrant IV.- \( \sin(t) = \frac{3}{2} \) ❌**Values to be found:**- \( \cos(t) = \)- \( \tan(t) = \)- \( \csc