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in the figure, m
bm4c and 2d is a right angle.
cos b=
sin a
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sin d
o

Explanation:

In the given figure the "hidden" vertex of the larger triangle is A.

Since, angle D is a right angle, both triangles BDC and CDE are right triangles (and they are also similar).

Since angle B and angle C have the same measure and angle D measures 90° (right angle), angle A and angle C are complementary, i.e.

For complementary angles, the sine of one acute angle equals the cosine of the other acute angle.

So, the sine of angle C is equal to the cosine of angle  B, i.e. cos (B) = sin (A).

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step-by-step explanation:

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.