What trigonometric ratio is the opposite of sine?
Table of Contents
- 1 What trigonometric ratio is the opposite of sine?
- 2 What is a trigonometric ratio of the opposite side over the hypotenuse?
- 3 How do you find the opposite and hypotenuse of a sine function?
- 4 What is hypotenuse adjacent and opposite?
- 5 What is the ratio of the leg opposite the angle to the hypotenuse?
- 6 How do you find the opposite using sine?
What trigonometric ratio is the opposite of sine?
How do people remember this stuff?
| Verbal description | |
|---|---|
| cosecant | The cosecant is the reciprocal of the sine. |
| secant | The secant is the reciprocal of the cosine. |
| cotangent | The cotangent is the reciprocal of the tangent. |
What is a trigonometric ratio of the opposite side over the hypotenuse?
We will call the ratio of the opposite side of a right triangle to the hypotenuse the sine and give it the symbol sin. sin = o / h. The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine and given the symbol cos.
What is the sine ratio of a right triangle?
In a right triangle, the sine of an angle is the ratio of the length of the opposite side divided by the length of the hypotenuse.
How do you find the opposite and hypotenuse of a sine function?
The Sine Function: Opposite over Hypotenuse
- Find the length of the side opposite alpha. Use the Pythagorean theorem, a2 + b2 = c2, letting a be 8 and c be 10. When you input the numbers and solve for b, you get. So, the opposite side is 6 inches long.
- Use the ratio for sine, opposite over hypotenuse.
What is hypotenuse adjacent and opposite?
In a right triangle, the hypotenuse is the longest side, an “opposite” side is the one across from a given angle, and an “adjacent” side is next to a given angle. We use special words to describe the sides of right triangles. The hypotenuse of a right triangle is always the side opposite the right angle.
Is Sine opposite over hypotenuse?
If we fix an acute angle θ, then all right-angled triangles that have θ as one of their angles are similar. So, in all such triangles, corresponding pairs of sides are in the same ratio. The side opposite the right angle is called the hypotenuse. sinθ=oppositehypotenuse,cosθ=adjacenthypotenuse,tanθ=oppositeadjacent.
What is the ratio of the leg opposite the angle to the hypotenuse?
Cosine
Cosine- the ratio of the length of the leg adjacent to the angle and the length of the hypotenuse Hypotenuse- the side opposite the right angle in a right triangle Law of Cosines- a set of relations in trigonometry that helps to solve oblique triangles.
How do you find the opposite using sine?
Inverse Sine Function
- Start with:sin a° = opposite/hypotenuse.
- sin a° = 18.88/30.
- Calculate 18.88/30:sin a° = 0.6293…
- Inverse Sine:a° = sin−1(0.6293…)
- Use a calculator to find sin−1(0.6293… ):a° = 39.0° (to 1 decimal place)