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how do you find the exact value of sec 5pi 6

by Prof. Florida Ritchie Published 3 years ago Updated 2 years ago

Find the Exact Value sec ((5pi)/6) sec(5π 6) sec (5 π 6) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because secant is negative in the second quadrant.

Trigonometry Examples
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because secant is negative in the second quadrant. The exact value of sec(π6) sec ( π 6 ) is 2√3 . Multiply 2√3 by √3√3 .

Full Answer

How do I find the value of sin 5PI/6?

How do I find the value of sin 5pi / 6? Another way to think about it is to draw the angle in a Unit circle and create the "new" triangle in Quadrant II. Drop a perpendicular to the x-axis and you will have the correct triangle to use. From this triangle, you need the opposite leg length, which is 1 2.

How to find the exact value of Cos (~5PI)/6?

Find the Exact Value cos((5pi)/6) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant. The exact value of is . The result can be shown in multiple forms.

What is the exact value of SEC (π 6)?

The exact value of sec(π 6) sec ( π 6) is 2 √3 2 3. Multiply 2 √3 2 3 by √3 √3 3 3. Combine and simplify the denominator.

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 the angle 5pi 6?

=5π6⋅180π=5⋅30=150 degree.

What is the exact value of tan 5pi 6?

-1/√3What is Tan 5pi/6? Tan 5pi/6 is the value of tangent trigonometric function for an angle equal to 5π/6 radians. The value of tan 5pi/6 is -1/√3 or -0.5774 (approx).

How do you find the exact value of sec 5pi 12?

Explanation: sec(5π12)=1cos(5π12) . cos(5π12)=cost=√2+√32.

What is the terminal side of 5pi 6?

Assuming that the angle is measured from the standard position, the terminal side of 5π6 5 π 6 would be at the second quadrant.

What is 5pie radians in degrees?

900 degreesThus, on converting $5\pi $ radians into degrees, we get 900 degrees.

What is the exact value of tan 5pi 4?

1The value of tan 5pi/4 is 1. Tan 5pi/4 radians in degrees is written as tan ((5π/4) × 180°/π), i.e., tan (225°).

How do you find the exact value of sin 5pi 4?

Sin 5pi/4 can also be expressed using the equivalent of the given angle (5pi/4) in degrees (225°). ∴ sin 5pi/4 = sin 5π/4 = sin(225°) = -(1/√2) or -0.7071067. . . Explanation: For sin 5pi/4, the angle 5pi/4 lies between pi and 3pi/2 (Third Quadrant).

How do you find the exact value of sin 5pi 3?

0:112:24How to Compute sin(5pi/3) by Hand - YouTubeYouTubeStart of suggested clipEnd of suggested clip5 pi over 3 is one of those special angles. And its reference angle is pi over 3.. Then you have toMore5 pi over 3 is one of those special angles. And its reference angle is pi over 3.. Then you have to have this memorized that's the key. So this is equal to the square root of three over two.

What is the exact value of cos 5pi over 12?

2:303:28Find the Exact Value of cos(5pi/12) - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo this is equal to the square root of 6. Minus the square root of 2.. It's all being divided by 4..MoreSo this is equal to the square root of 6. Minus the square root of 2.. It's all being divided by 4.. And that would be the final answer this would be the exact. Value of the cosine of 5 pi over 12.

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