The two-way table below shows an intendant careers among an incoming class of first-year college students, divided by gender. If
a male student is chosen at random, what is the probability that intends to be a research scientist.
a. 6.3%
b. 4.17%
c. 2.2%
d. 4.64%
a. 6.3%
b. 4.17%
c. 2.2%
d. 4.64%
1 answer:
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Answer: sin = ±
Step-by-step explanation:
We very well know that,
cos2A=1−2sin²A
⟹ sinA = ±
As required, set A = & cos a=
,thus we get
sin =±
∴ sin =±
= ±
since ,360° < <450°
,180° < <225°
Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.
hope it helped!