## What angle is complementary to pi over 4?

Trigonometry Examples The complement of π4 is the angle that when added to π4 forms a right angle (π2 radians). To write π2 as a fraction with a common denominator, multiply by 22 . Write each expression with a common denominator of 4 , by multiplying each by an appropriate factor of 1 .

### What is the supplement of pi over 4?

The supplement of π4 is the angle that when added to π4 forms a straight angle (π radians). To write π as a fraction with a common denominator, multiply by 44 . Combine fractions. Combine π π and 44 4 4 .

#### How do you calculate complement and supplement?

If we know that a set of angles form one of these special relationships, we can determine the measure of the other angle. To determine the supplement, subtract the given angle from 180. 180 – 43 = 137° The supplement of 43° is 137°. To determine the complement, subtract the given angle from 90.

**What angle is supplementary to 3 pi over 4?**

Supplementary angles add to π aka 180∘ so the supplement of 3π4 is π−3π4=π4 .

**What is the complement of 7pi 8?**

Trigonometry Examples The complement of 7π8 7 π 8 is the angle that when added to 7π8 7 π 8 forms a right angle (π2 radians).

## What is the complement of 1 degree?

As complementary angles add up to 90∘ or π2 radian, complementary angle of 1 radian is π2−1=0.5708 radian. Similarly, as supplementary angles add up to 180∘ or π radian, supplementary angle of 1 radian is π−1=2.1416 radian.

### What is the complement of 9 degrees?

To determine the complement, subtract the given angle from 90. 90 – 9 = 81° The complement is 81 degree.

#### What is the complement of a supplement?

The supplement of an angle is the same thing as a complement, except that it adds up to 180 degrees; that’s a straight line.

**What is the complement of 35 degrees?**

The complement of 35° is the angle that when added to 35° forms a right angle (90° ).

**Is there a pi Emoji?**

There is no emoji for pi at the moment. It’s a text symbol.

## How to find the complement and supplement of an angle?

Learn how to find the complement and the supplement of a given angle. Two angles are said to be complementary if they add up to 90 degrees (pi/2 in radians) and are said to be supplementary if they add up to 180 degrees (pi in radians).

### Where does the word complement come from in math?

When two angles add to 90°, we say they “Complement” each other. Complementary comes from Latin completum meaning “completed” because the right angle is thought of as being a complete angle. Spelling: be careful, it is not “Complimentary Angle” (with an “i”)

#### Are there any angles that cannot complement each other?

1 Two right angles cannot complement each other 2 Two obtuse angles cannot complement each other 3 Two complementary angles are acute but vice versa is not possible

**Are there any trig functions of complementary angles?**

You already know about trig functions of complementary angles: sin(90° − A) = cos A, tan(90° − A) = cot A, sec(90° − A) = csc A, and vice versa. Your mnemonic is the “co” in co-function and complementary angle. But what about supplementary angles? Is there any relation between sin 40° and sin 140°?