Given sin30= 1/2 and cos30= (√3)/2 determine the following - csc30
I see the sin30 part can be used to find the answer, but what about the cos30 part?
csc30 = 1/sin30 = 1/0.5 = 2.0.
sec30 = 1/Cos30 = 1/(sqrt3/2) = 2/sqrt3 = 1.155.
Question: Did you show all of the problem?
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To determine the value of csc30, we can use the reciprocal relationship between sine and cosecant.
The reciprocal of sine is cosecant, so the formula is:
cscθ = 1 / sinθ
Since we already know that sin30 = 1/2, we can substitute this value into the formula:
csc30 = 1 / (1/2)
To divide by a fraction, we invert the fraction and multiply:
csc30 = 1 * (2/1) = 2
Therefore, the value of csc30 is 2.
To determine csc30, we need to recall the basic trigonometric identities.
The cosecant of an angle is the reciprocal of its sine. Therefore, we can use the given value of sin30 to find csc30.
Since sin30 = 1/2, we know that csc30 = 1/(sin30).
To find csc30, we just need to take the reciprocal of sin30.
So, csc30 = 1 / (1/2) = 2.
Therefore, csc30 is equal to 2.