Let s see the angles in different Quadrants In Quadrant 1, angles are from 0 to 90 In Quadrant 2, angles are from 90 to 180 In Quadrant 3, angles are from 180 to 270 In Quadrant 4, angles are from 270 to 360 To
Tangent tan(30°) = 1 / 1.732 = 0.577But in Quadrant II, the x direction is negative, and cosine and tangent become negative:Example: The sine, cosine and tangent of 150° Sine sin(150°) = 1 / 2 = 0.5 Cosine cos(150°) = −1.732 / 2 = −0.866 Tangent tan(150°) = 1 ...
1) (a) If \theta terminates in Quadrant 2, what are the signs (>0\ or\ ,<0) for sin(\theta)\ ,\ cos(\theta)\ , \ tan(\theta) (b). If \theta terminates in Quadrant 3, what are the signs (>0\ or \ ,<0) for sin(\theta)\ ...
and in Q4 the x-values are positive and y-values are negative. Lastly, it is possible to connect the trigonometric functions to coordinates on the unit circle by knowing thatsin(θ)=y,cos(θ)=x,tan(θ)=yx. Once the first quadrant of the unit circle is created, the following three q...
In which quadrant does the angle t lie if sec(t) 0 and sin(t) 0? For the quadrant in which the point (2, -4) is located, determine which of the functions are positive. a. sin b. cos c. tan d. csc e. sec f. cot Write the first expression in terms of the second i...
tan 0 0 sin π/6 1/2 cos π/6 √3/2 tan π/6 √3/3 sin π/4 √2/2 cos π/4 √2/2 tan π/4 1 sin π/3 √3/2 cos π/3 1/2 tan π/3 √3 sin π/2 1 cos π/2 0 tan π/2 DNE sin 2π/3 √3/2 cos 2π/3 -1/2 tan 2π/3 -√3 sin 3π/4 √2/...
The signs of the six trigonometric functions in each quadrant are displayed in the table below. TrigonometricFunctionQuadrants IIIIIIIV sinpositivepositivenegativenegative cospositivenegativenegativepositive tanpositivenegativepositivenegative cotpositivenegativepositivenegative ...
The function g(theta) = tan theta is not defined in odd multiples of pi/2. Determine whether the statement is true or false. If sin theta = 1 / 4 and cos theta less than 0, then tan theta = - square root 15 ...
One of the easiest way to graph the function is first substitute x=0 into the equation and solve for y. Now we have the coordinate 0,y1, which is the y-intercept. In the similar fashion, substitute y=0 to find fo...
(b) Find a unit vector in the direction of v. (2) Let P = (2, 4), Q = (-1,Determine whether or not the following vector fields are conservative. (a) vector G (x, y) = (e^x sin y + tan y) vector i+ (1 / 2 e^{2 x} cos y ...