Question

Someone please help me

Answer 1

`\displaystyle \boxed{(60)/(61)} = cos\:θ_1`

Explanation:

`\displaystyle arcsin\: (11)/(61) ≈ 0,1813197744 \\ \\ cos\:0,1813197744 ≈ (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.