How do you find the sec of a triangle?
How do you find the sec of a triangle?
Secant Formula Thus, the secant of angle α in a right triangle is equal to the length of the hypotenuse c divided by the adjacent side b. To solve sec, simply enter the length of the hypotenuse and adjacent side, then solve. This formula might look very similar to the formula to calculate cosine.
What ratio is adjacent over hypotenuse?
The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine and given the symbol cos. Finally, the ratio of the opposite side to the adjacent side is called the tangent and given the symbol tan. The ratio of the opposite to the hypotenuse is .
Is sec opposite or adjacent?
Allied to these are the three reciprocal ratios, cosecant, secant and cotangent: cosecθ=hypotenuseopposite,secθ=hypotenuseadjacent,cotθ=adjacentopposite.
What is sec theta?
What is sec theta? Sec theta of an angle in a right-angled triangle is defined as the ratio of the hypotenuse and adjacent side.
What is sec angle?
In a right angled triangle, the secant of an angle is: The length of the hypotenuse divided by the length of the adjacent side. The abbreviation is sec. sec(θ) = hypotenuse / adjacent. It is not commonly used, and is equal to 1/cosine.
What is the trigonometric ratio of sec θ?
1/cos θ
Trigonometric Ratios | |
---|---|
Sin θ | Opposite Side to θ/Hypotenuse |
Cot θ | Adjacent Side/Opposite Side & 1/tan θ |
Sec θ | Hypotenuse/Adjacent Side & 1/cos θ |
Cosec θ | Hypotenuse/Opposite Side & 1/sin θ |
What is the reciprocal of sec?
There are three reciprocal trigonometric functions, making a total of six including cosine, sine, and tangent. The reciprocal cosine function is secant: sec(theta)=1/cos(theta). The reciprocal sine function is cosecant, csc(theta)=1/sin(theta).
Why is sin opposite over hypotenuse?
The sine is always the measure of the opposite side divided by the measure of the hypotenuse. Because the hypotenuse is always the longest side, the number on the bottom of the ratio will always be larger than that on the top.