Question

what is a complementary angles ?​

Answer 1

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complementary angle

• either of two angles whose sum is 90

Answer 2

Answer:-

Complementary Angles

When the sum of two angles is 90°, then the angles are known as complementary angles. In other words, if two angles add up to form a right angle, then these angles are referred to as complementary angles. Here we say that the two angles complement each other.

Suppose if one angle is x then the other angle will be 90o – x. Hence, we use these complementary angles for trigonometry ratios, where on ratio complement another ratio by 90 degrees such as;

• sin (90°- A) = cos A and cos (90°- A) = sin A

• tan (90°- A) = cot A and cot (90°- A) = tan A

• sec (90°- A) = cosec A and cosec (90°- A) = sec A

Hence, you can see here the trigonometric ratio of the angles gets changed if they complement each other.

Facts of complementary angles:

• Two right angles cannot complement each other

• Two obtuse angles cannot complement each other

• Two complementary angles are acute but vice versa is not possible