What quadrant is csc 45 in?

Explanation: For cosec 45 degrees, the angle 45° lies between 0° and 90° (First Quadrant). Since cosecant function is positive in the first quadrant, thus cosec 45° value = √2 or 1.4142135. . .

What is the value of csc 45 degree?

Trigonometry Examples

The exact value of csc(45°) csc ( 45 ° ) is √2 .

What is csc of 45 degrees in radians?

To convert degrees to radians, multiply by π180° π 180 ° , since a full circle is 360° or 2π radians. The exact value of csc(45) is √2 .

What is the exact value of csc 495 degrees?

csc495=1sin495.

What is exact value of csc?

1 Answer. You cannot get an exact value; Considering that csc(x)=1sin(x) and that sin(π)=0 you get: csc(π)=1sin(π)=10 which cannot be calculated.

Trigonometry - The signs of trigonometric functions

How do you find csc in trigonometry?

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

What is standard position degree?

An angle is in standard position if its vertex is located at the origin, and its initial side extends along the positive x-axis.

What is the reference angle of degrees?

In mathematics, the reference angle is defined as the acute angle and it is measuring less than 90 degrees. It is always the smallest angle, and it makes the terminal side of an angle with the x-axis.

What is the sin of 45 in radical form?

Sin 45 degrees is the value of sine trigonometric function for an angle equal to 45 degrees. The value of sin 45° is 1/√2 or 0.7071 (approx).

What is COS 45 in fraction?

The exact value of cos 45 degrees is 1/√2 or √2/2.

What is the exact value of sin 45?

The exact value of Sin 45 degree in decimal form is 0.7071067812.

What is the cot of 45 degrees?

The value of cot 45 degrees is 1. Cot 45 degrees can also be expressed using the equivalent of the given angle (45 degrees) in radians (0.78539 . . .)

What does tan 45 mean?

The value of tan 45° is 1.

What is cot60?

Cot 60 degrees is the value of cotangent trigonometric function for an angle equal to 60 degrees. The value of cot 60° is 1/√3 or 0.5774 (approx).

Which angle is Quadrantal angle?

Definition A quadrantal angle is an angle in standard position whose terminal ray lies along one of the axes. Examples of quadrantal angles include, 0, π/2 , π , and 3π/ 2. Angles coterminal with these angles are, of course, also quadrantal.

What quadrant is negative degrees?

When we think of angles, we go clockwise from the positive x axis. Thus, for negative angles, we go counterclockwise. Since each quadrant is defined by 90˚, we end up in the 3rd quadrant.

Is 45 a Quadrantal angle?

An angle in standard position is called a quadrantal angle if its terminal side lies on x-axis or y-axis. Quadrantal angles include 0∘, ±90∘, ±180∘, ±270∘, ±360∘ etc.

How do you find quadrants?

If both x and y are positive, then the point lies in the first quadrant. If x is negative and y is positive, then the point lies in the second quadrant. If both x and y are negative, then the point lies in the third quadrant. If x is positive and y is negative, then the point lies in the fourth quadrant.

What quadrant would 405 degrees be in?

The angle 405°, coterminal to angle 45°, is located in the First Quadrant(Quadrant I).

What is csc math?

In a right angled triangle, the cosecant of an angle is: The length of the hypotenuse divided by the length of the side opposite the angle. The abbreviation is csc.

What is csc the inverse of?

The cosecant ( csc ⁡ ) (\csc) (csc)

The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle. Created with Raphaël A A A C B a c.