Table of Contents
What is the reference angle for 7pi 4 radians?
The resulting angle of π4 π 4 is positive and coterminal with −7π4 – 7 π 4 . Since π4 is in the first quadrant, the reference angle is π4 .
What quadrant is 7pi 4 degrees in?
the Fourth Quadrant
The Point P(7Pi/4) Is In the Fourth Quadrant.
In which quadrant does the terminal side of a 5π 4 radian angle in standard position lie?
The angle is in the second quadrant.
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.
How do you express in Radian measure?
The formula used is: Radians = (Degrees × π)/180°. Radians = (60° × π)/180° = π/3. Hence, 60 degrees converted to radians is π/3.
How do you solve 7pi 4 sec?
To find the value of sec 7π/4 using the unit circle:
- Rotate ‘r’ anticlockwise to form 7pi/4 angle with the positive x-axis.
- The sec of 7pi/4 equals the reciprocal of the x-coordinate(0.7071) of the point of intersection (0.7071, -0.7071) of unit circle and r.
In which quadrant does the terminal arm of a 59 angle in standard position lie?
The angle is in the first quadrant.
What quadrant is 7 radians?
Explanation: Well there are 2π≈6.28 radians in a full circle. So each quadrant has 2π4=π2≈1.57 radians. Let’s divide −7π2≈−4.45 Quadrants, so it is all the way around the circle clockwise and then about half way through the IV Quadrant.
How do you write in standard position?
Drawing an angle in standard position always starts the same way—draw the initial side along the positive x-axis. To place the terminal side of the angle, we must calculate the fraction of a full rotation the angle represents. We do that by dividing the angle measure in degrees by360°.
How many degrees is 5π 4 radians?
ad=54π⋅180°π=225° .
What degree is 7pi 2?
630°
Sin 7pi/2 can also be expressed using the equivalent of the given angle (7pi/2) in degrees (630°).
How do you convert angles to radians?
To convert the value of the angle in degree, to its equivalent radians, we need to multiply the given value with π/180. For example, the value of 180 degrees is π in radians.
What is the exact value of 7pi 6?
-2/√3
Sec 7pi/6 is the value of secant trigonometric function for an angle equal to 7π/6. The value of sec 7pi/6 is -2/√3 or -1.1547 (approx).
What is the exact value of sin pi 4?
1/√2
Sin pi/4 is the value of sine trigonometric function for an angle equal to pi/4 radians. The value of sin pi/4 is 1/√2 or 0.7071 (approx).
In which quadrant does the terminal side of a 7π 6 radian angle in standard position lie?
The angle is in the third quadrant.
Where is 7pi 2 on the unit circle?
The value of sin 7pi/2 can be calculated by constructing an angle of 7π/2 radians with the x-axis, and then finding the coordinates of the corresponding point (0, -1) on the unit circle. The value of sin 7pi/2 is equal to the y-coordinate (-1). ∴ sin 7pi/2 = -1.