Suppose cos(O) = 5/13, Quadrant I. Find sin(O).
A:13/12
B:12/13
C:13/5
D:5/12
1 answer:
Answer:
B. 12/13.
Step-by-step explanation:
Using the identity sin^2 O + cos^2 O = 1:
sin^2 O = 1 - cos^2 O
sin^2 O = 1 - (5/13)^2
= 1 - 25/169
= 169/169 - 25/169
= 144/169
So sin O = √(144/169)
= 12/13.
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