SOLUTION: Write the first trigonometric function in terms of the second for 𝜃 in the given quadrant. sec(𝜃), sin(𝜃); 𝜃 in Quadrant I sec(𝜃) = ????

Algebra ->  Trigonometry-basics -> SOLUTION: Write the first trigonometric function in terms of the second for 𝜃 in the given quadrant. sec(𝜃), sin(𝜃); 𝜃 in Quadrant I sec(𝜃) = ????      Log On


   

Question 1194128: Write the first trigonometric function in terms of the second for 𝜃 in the given quadrant.
sec(𝜃), sin(𝜃); 𝜃 in Quadrant I
sec(𝜃) = ????
Answer by ikleyn(52908) About Me  (Show Source):
You can put this solution on YOUR website!
.

sec%28theta%29 = by the definition = 1%2Fcos%28theta%29 = 1%2Fsqrt%281-sin%5E2%28theta%29%29.    ANSWER


In Quadrant I, both cosine and sine are positive.


Due to this reason, the square root in the formula goes with the sign "+" (plus).

Solved.