Answer:
[tex]\displaystyle \boxed{\frac{60}{61}} = cos\:θ_1[/tex]
Step-by-step explanation:
[tex]\displaystyle arcsin\: \frac{11}{61} ≈ 0,1813197744 \\ \\ cos\:0,1813197744 ≈ \frac{60}{61}[/tex]
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
[tex]\displaystyle Positive-Negative → Quadrant\:IIII \\ Negative-Negative → Quadrant\:III \\ Negative-Positive → Quadrant\:II \\ Positive-Positive → Quadrant\:I \\ \\[/tex]
Extended Information on Trigonometric Ratio Values
[tex]\displaystyle y-values → sin\:θ \\ x-values → cos\:θ[/tex]
I am joyous to assist you anytime.
