Given that cos42° is simpler to 0.743, What is the sine of the complementary angle?

Question

Mathematics

Tiana Randolph

20 December, 11:25

Given that cos42° is simpler to 0.743, What is the sine of the complementary angle?

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Answers (2)

Know the Answer?

Julie · Answer 1

Cos (42) = sin (90-42)

So in this case:

cos (42) = sin (48)

As:

A complementary angle is either of two angles whose sum is 90 degrees. {Source: Google}

Anika Gross · Answer 2

The cos of an angle and the sine of its complement are the same number.

Spend a couple of minutes looking at a right triangle, and reviewing the definitions of sin and cos, and you'll see why.