Question

Someone please help me

Answer 1

Answer:

$\displaystyle \boxed{\frac{60}{61}} = cos\:θ_1$

Step-by-step explanation:

$\displaystyle arcsin\: \frac{11}{61} ≈ 0,1813197744 \\ \\ cos\:0,1813197744 ≈ \frac{60}{61}$

Since this answer is in Quadrant I, this would be a positive-positive answer, which in this case, will remain a positive.

Extended Information on Quadrants

$\displaystyle Positive-Negative → Quadrant\:IIII \\ Negative-Negative → Quadrant\:III \\ Negative-Positive → Quadrant\:II \\ Positive-Positive → Quadrant\:I$

Extended Information on Trigonometric Ratio Values

$\displaystyle y-values → sin\:θ \\ x-values → cos\:θ$

I am joyous to assist you anytime.