SOLUTION: The sec theta = square root of 29 over 5, sin theta is negative. Find the other five functions (their exact value).

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Question 34206: The sec theta = square root of 29 over 5, sin theta is negative. Find the other five functions (their exact value).
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
sec positive and sine negative puts theta in the 4th quadrant
Draw a reference angle in the 4th Q; form a right triangle with hypotenuse
29 and the side adjacent to the central angle = 5.
Use Pythatoras to find the side opposite the central reference angle.
29^2-5^2= 816; side opposite is -sqrt816=-4sqrt51
Then sin(theta)=opp/hypotenuse = 29/[-4sqrt51]
Cheers,
Stan H.