Table of Contents
What is the exact value of cos 15?
Answer: The value of cos 15° = (√3+1)/2√2.
What is the value of Cos inverse cos theta?
Inverse Trigonometric Formulas List
| S.No | Inverse Trigonometric Formulas |
|---|---|
| 28 | cos-1(cos θ) = θ, 0 ≤ θ ≤ π |
| 29 | tan-1(tan θ) = θ, -π/2 < θ < π/2 |
| 30 | cosec-1(cosec θ) = θ, – π/2 ≤ θ < 0 or 0 < θ ≤ π/2 |
| 31 | sec-1(sec θ) = θ, 0 ≤ θ ≤ π/2 or π/2< θ ≤ π |
How do you expand COS 15?
The value of cos 15° is equal to the x-coordinate (0.9659). ∴ cos 15° = 0.9659.
What is sin 15 as a fraction?
Value of Sin 15 degree = (√3 – 1) / 2√2.
How do you find inverse cosine?
With inverse cosine, we select the angle on the top half of the unit circle. Thus cos-1 (–½) = 120° or cos-1 (–½) = 2π/3. In other words, the range of cos-1 is restricted to [0, 180°] or [0, π]. Note: arccos refers to “arc cosine”, or the radian measure of the arc on a circle corresponding to a given value of cosine.
How do you find the value of cos 13?
How to Find the Value of Cos 13 Degrees? The value of cos 13 degrees can be calculated by constructing an angle of 13° with the x-axis, and then finding the coordinates of the corresponding point (0.9744, 0.225) on the unit circle. The value of cos 13° is equal to the x-coordinate (0.9744). ∴ cos 13° = 0.9744.
What is sin 15 degrees exact value?
Value of Sin 15 in Decimal Since, we know, Sin 15° = (√3–1)/2√2.
How do you find the inverse of cos x?
Inverse cosine calculator. The arccosine function is the inverse function of cos (x). arccos ( x) = cos -1 ( x) For example, If the cosine of 60° is 0.5: arccos (0.5) = cos -1 (0.5) = 60°
What is the difference between cosine and inverse cosine?
In the cosine function, the value of angle θ is taken to give the ratio adjacent/hypotenuse. However, the inverse cosine function takes the ratio adjacent/hypotenuse and gives angle θ . Inverse cosine is represented as cos-1 or arccos . The rule for inverse cosine is derived from the rule of the cosine function.
What is arccos in cosine calculator?
Cosine calculator ►. The arccosine function is the inverse function of cos(x). arccos(x) = cos -1(x) For example, If the cosine of 60° is 0.5: cos(60°) = 0.5. Then the arccos of 0.5 is 60°: arccos(0.5) = cos -1(0.5) = 60°.
How to use cosine calculator?
To use cosine calculator you need to follow below steps. 1. Open Cosine Calculator. 2. Enter the cos value and select the angle as degree or radians. 3. Click on “Calculate” and get the result.