If W is the center of the circle below and measures 52°, what is the measure of XZY?
1 answer:
Answer:
Option (B)
Step-by-step explanation:
By the theorem of the inscribed angle,
"An angle inscribed in a circle measures half of the central angle subtended by the same arc."
Since m(arc XY) = 52°
Angle subtended by the the arc at the center (Central angle) = m∠XWY = 52°
Measure of inscribed angle = m∠XZY
By theorem, m∠XZY =
m∠XZY =
= 26°
Therefore, Option (B) will be the answer.
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Answer:
- sin(x) = 1
- cos(x) = 0
- cot(x) = 0
- csc(x) = 1
- sec(x) = undefined
Step-by-step explanation:
The tangent function can be considered to be the ratio of the sine and cosine functions:
tan(x) = sin(x)/cos(x)
It will be undefined where cos(x) = 0. The values of x where that occurs are odd multiples of π. The smallest such multiple is x=π/2. The value of the sine function there is positive: sin(π/2) = 1.
The corresponding trig function values are ...
tan(x) = undefined (where sin(x) >0)
sin(x) = 1
cos(x) = 0
__
And the reciprocal function values at x=π/2 are ...
cot(x) = 0 . . . . . . 1/tan(x)
csc(x) = 1 . . . . . . .1/sin(x)
sec(x) = undefined . . . . . 1/cos(x)
