How do you find the exact value of sec 3pi 4?
The value of sec 3pi/4 can be calculated by constructing an angle of 3π/4 radians 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 3pi/4 is equal to the reciprocal of the x-coordinate(-0.7071). ∴ sec 3pi/4 = -1.4142.
What are the six trig functions of 3pi 4?
Explanation:
- sin(3π4)=sin(π−3π4)=sin(π4)=1√2.
- tan(3π4)=sin(3π4)cos(3π4)=1√2−1√2=−1.
- sec(3π4)=1cos(3π4)=−√2.
- csc(3π4)=1sin(3π4)=√2.
- cot(3π4)=1tan(3π4)=−1.
What is the exact value of csc 3pi 4?
1.4142
The value of csc 3pi/4 is equal to the reciprocal of the y-coordinate (0.7071). ∴ csc 3pi/4 = 1.4142.
What is 3pi divided by 4 in degrees?
1 Answer. Hayden L. Therefore by substitution 3×π4 is equal to 3×1804 which equals 135 degrees.
What is the reference angle for 3π 4?
First Quadrant Second Quadrant Third Quadrant Fourth Quadrant Example 1: The reference angle of θ = 3π/4 and ρ = −3π/4 are both π/4.
What is a Coterminal angle of 3pi 4?
For example a positive coterminal angle for 3pi/4 would be 19pi/4.
What degree is 3pi 4?
Therefore by substitution 3×π4 is equal to 3×1804 which equals 135 degrees.
What is the cot of 3pi 4?
-1
The value of cot 3pi/4 is -1. Cot 3pi/4 radians in degrees is written as cot ((3π/4) × 180°/π), i.e., cot (135°).
How do you find the exact value of sec?
The sec of an angle in a right triangle is the ratio of the length of the hypotenuse to the length of the adjacent side. Secant can be easily replaced by cos x using the formula, sec x = 1 / cos x.
What is 3x 4 radians converted to degrees?
So: multiply by 180 , then divide by π . To convert your problem, the answer would be 135∘ . Hope this helped!
What quadrant does 3Pi 4 lie in?
The Point P(3Pi/4) Is In the Second Quadrant.
How do you solve for reference angle?
In order to find its reference angle, we first need to find its corresponding angle between 0° and 360°. This is easy to do. We just keep subtracting 360 from it until it’s below 360. For instance, if our angle is 544°, we would subtract 360° from it to get 184° (544° – 360° = 184°).
What quadrant does 3pi 4 lie in?
What is cot degree?
19.081136687
The value of cot 3 degrees in decimal is 19.081136687. . .. Cot 3 degrees can also be expressed using the equivalent of the given angle (3 degrees) in radians (0.05235 . . .) ⇒ 3 degrees = 3° × (π/180°) rad = π/60 or 0.0523 . . .
What is value of sec?
The secant of angle zero degrees is written as in Sexagesimal system and the exact value of secant of angle zero degrees is equal to one.