Definition: Trigonometric functions. Let P = (x, y) be a point on the unit circle centered at the origin O. Let θ be an angle with an initial side along the positive x -axis and a terminal side given by the line segment OP. The trigonometric functions are then defined as. sinθ = y. cscθ = 1 y. cosθ = x. secθ = 1 x. It means to determine if the value of a trigonometric function is positive or negative; for example, since sin(3π 2) = − 1 < 0, its sign is negative, and since cos( − π 3) = 1 2 > 0, its sign is positive. I hope that this was helpful. Wataru · 2 · Nov 6 2014. Sin and Cos are basic Trigonometric functions that tell about the shape of a right triangle.There are six Trigonometric Ratios, Sine, Cosine, Tangent, Cosecant, Secant and Cotangent and are abbreviated as Sin, Cos, Tan, Csc, Sec, Cot. These are referred to as ratios because they can be expressed in terms of the sides of a right-angled triangle The x -coordinate of the point where the other side of the angle intersects the circle is cos ( θ ) and the y -coordinate is sin ( θ ) . There are a few sine and cosine values that should be memorized, based on 30 ° − 60 ° − 90 ° triangles and 45 ° − 45 ° − 90 ° triangles. Step 1: Find the area of the base. Step 2: Multiply the area by the height of the pyramid. Step 3: Divide by 3. Calculate the Length of a Tree Just By Looking at it. Watch on. Explore. math program. In trigonometry, the sine function or sin function is a periodic function. The sine function can also be defined as the ratio of the length of the To calculate using sin, cos and tan, we need to know their trigonometric ratios (remember that the ratio of two values is a division of these values). Consider the right-angled triangle below. Consider the right-angled triangle below. Stop by or call (630) 942-3339 5)Draw the graphs of the following trigonometric functions over one period. a) y = 1+sin x b)y = cos θ+π c) z = tan 2 For the four trigonometric functions, sine, cosine, cosecant and secant, a revolution of one circle, or 2π, 2 π, will result in the same outputs for these functions. And for tangent and cotangent, only a half a revolution will result in the same outputs. Other functions can also be periodic. cosec θ = 1/sin θ; sec θ = 1/cos θ; cot θ = 1/tan θ; sin θ = 1/cosec θ; cos θ = 1/sec θ; tan θ = 1/cot θ; All these are taken from a right-angled triangle. When the height and base side of the right triangle are known, we can find out the sine, cosine, tangent, secant, cosecant, and cotangent values using trigonometric formulas. The question says that $\theta$ has to be between 0 and $\pi/2$. That's the problem. Also just to clarify, it should be sin $\theta$ and tan $\theta$, not just sin and tan. The way I see it is that it's like writing the square root sign without anything underneath. Actually yes, tan$\theta$ should be 4/3. WEtTDv.