Question

If the sin 90° = 1, then which statement is true?

cos 0° = 1, because the angles are complements
cos 90° = 1, because the angles are supplements
cos 0° = 0, because the angles are complements
cos 90° = 0, because the angles are supplements

Answer 1

Answer: A. cos0°=1 because the angles are complements.

Answer 2

When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other. The correct option is A.

What is a Complementary Angle?

When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.

for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are complementary angles of each other.

We know that sin(90-θ) is always equal to cos(θ). This is because the two angles are always complementary to each other. Therefore, the value of  sin(90°)=1 can also be rewritten as,

sin(90°)=1

cos(90° - 90°) = 1

cos 0° = 1

This is because the angles are complements.

Learn more about Complementary Angles:

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