What is value of cos 135 degree?

Explanation: For cos 135 degrees, the angle 135° lies between 90° and 180° (Second Quadrant). Since cosine function is negative in the second quadrant, thus cos 135° value = −(1/√2) or -0.7071067. . .

What is the sine and cosine of 135 degrees?

Trigonometric Function Values of Special Angles

θ° θradians cos(θ)
60° π/3 1/2
90° π/2 0
120° 2π/3 -1/2
135° 3π/4 -√2/2

What is the value of cot 135 degree?

-1
Cot 135 degrees is the value of cotangent trigonometric function for an angle equal to 135 degrees. The value of cot 135° is -1.

What is value of sin 135 degree?

0.7071
The value of sin 135° is 1/√2 or 0.7071 (approx).

How do you find the reference angle of COS 135?

find cos(-135 degrees) We know that -135 degrees (going clockwise) is the same as 225 degrees (going counterclockwise). This lies in the 3rd quadrant. Taking the nearest x-axis, we find the reference angle to be 45 degrees.

How do you find the value of tan 135?

To find the value of tan 135 degrees using the unit circle:

  1. Rotate ‘r’ anticlockwise to form 135° angle with the positive x-axis.
  2. The tan of 135 degrees equals the y-coordinate(0.7071) divided by x-coordinate(-0.7071) of the point of intersection (-0.7071, 0.7071) of unit circle and r.

What is the value of Cosec 135?

Expert-verified answer And the value of is 1.414.

What is 135 on the unit circle?

cos(135°)=−√221. Divide −√22 by 1 . −√22.

How do you find tan 135 without a calculator?

Tan 135 Degrees Using Unit Circle

  1. Rotate ‘r’ anticlockwise to form 135° angle with the positive x-axis.
  2. The tan of 135 degrees equals the y-coordinate(0.7071) divided by x-coordinate(-0.7071) of the point of intersection (-0.7071, 0.7071) of unit circle and r.

How do you solve tan 315?

To find the value of tan 315 degrees using the unit circle:

  1. Rotate ‘r’ anticlockwise to form 315° angle with the positive x-axis.
  2. The tan of 315 degrees equals the y-coordinate(-0.7071) divided by x-coordinate(0.7071) of the point of intersection (0.7071, -0.7071) of unit circle and r.

What is the formula of tan 135 degree?

The value of tan 135 degrees is -1. Tan 135 degrees in radians is written as tan (135° × π/180°), i.e., tan (3π/4) or tan (2.356194. . .).

How do you find Sec 135 degrees?

The value of sec 135 degrees can be calculated by constructing an angle of 135° with the x-axis, and then finding the coordinates of the corresponding point (-0.7071, 0.7071) on the unit circle. The value of sec 135° is equal to the reciprocal of the x-coordinate(-0.7071). ∴ sec 135° = -1.4142.

What is the coordinate of 135 degree?

#1: Memorize Common Angles and Coordinates

Angle (Degrees) Angle (Radians) Coordinates of Point on Circle
135° 3 π 4 ( − √ 2 2 , √ 2 2 )
150° 5 π 6 ( − √ 3 2 , 1 2 )
180° π (-1, 0)
210° 7 6 ( − √ 3 2 , − 1 2 )

How do you calculate tan 135?