Which of the functions have period pi?
1 answer:
ANSWER
A.) y = tan x
C.) y = cot x
EXPLANATION
The period refers to the interval over which the graph completes one cycle
The trigonometric functions
and
are reciprocals of each other.
They have the same period, which is π
Also y=cscx and y=secx are reciprocals of the sine and the cosine functions respectively.
They have periods of 2π
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BO is double that of DO. In other words, BO is two times longer than DO. The answer is choice B
For example, if DO were 3 units long, then BO would be 6 units long (2*3 = 6). This works because the triangles DCO and BAO are similar triangles. The corresponding sides are in the same ratio or proportion to one another. The larger triangle (BAO) has sides that are twice as long as the smaller triangle's (DCO) corresponding sides.
Side note: we can prove the triangles to be similar using the AA (angle angle) similarity theorem. The first pair of angles are the vertical angles DOC and BOA which are congruent to each other.The second pair is CDB and ABD which are congruent by the alternate interior angle theorem. Check out the attached image for a visual.
