If the sin 90° = 1, then which of these statements is true? a. cos 0° = 1, because the cosine and sine are complements. cos 90° = 1, because the cosine and sine are supplements. b. cos 0° = 0, because the cosine and sine are complements. c. cos 90° = 0, because the cosine and sine are supplements.

option 1 is correct.

step-by-step explanation:

given sin 90°=1

we have to choose the correct statement.

as the sine of any acute angle is equal to cosine of its complement i.e these are complements.

sin(90-ф)=cosф and cos(90-ф)=sinф

sin 90°=cos(90-90)°=cos 0°

∴ cos 0°=sin 90°=1

as, sin(180-ф)=sin ф not cos ф

∴ sine and cosine are not supplements

hence, option 1 is correct.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

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