In Quadrant II, csc ⁡ θ \displaystyle \csc{\theta} cscθ is positive, sec ⁡ θ \displaystyle \sec{\theta} secθ and cot ⁡ θ \displaystyle \cot{\theta} cotθ are negative.

Where is csc on a graph?

The cosecant goes down to the top of the sine curve and up to the bottom of the sine curve. After using the asymptotes and reciprocal as guides to sketch the cosecant curve, you can erase those extra lines, leaving just y = csc x. The figure that follows shows what this function looks like all on its own.

All trig functions (sin, cos, tan, sec, csc, cot) are positive in the first quadrant.

• Sine is positive in the second quadrant.
• Tangent is positive in the third quadrant.
• Cosine is positive in the fourth quadrant.
• What quadrant is csc positive and SEC negative?

What is sec Cosec cot?

Secant (sec) is the reciprocal of cosine (cos) Cosecant (cosec) is the reciprocal of sin. Cotangent (cot) is the reciprocal of tan.

What is the graph of secant?

As with tangent and cotangent, the graph of secant has asymptotes. This is because secant is defined as \n\nThe cosine graph crosses the x-axis on the interval \n\nat two places, so the secant graph has two asymptotes, which divide the period interval into three smaller sections.

What is the period of CSC?

2 π 2
From the graphs of the tangent and cotangent functions, we see that the periods of secant and cosecant are both 2 π 2\pi 2π.

Which quadrants are CSC SEC and cot positive in?

Which quadrants are csc, sec, and cot positive in? cot is +ve in QI, and,QIII. cot is +ve in QI, and,QIII.

What are the graphs of Tan Cot Sec SEC and CSC?

Graphs of tan, cot, sec and csc 4. Graphs of tan, cot, sec and csc \\displaystyle \\csc { {x}} cscx are not as common as the sine and cosine curves that we met earlier in this chapter. However, they do occur in engineering and science problems. They are interesting curves because they have discontinuities.

How to find the trigonometric ratios CSC SEC cot?

The formulas given below can be used to find the trigonometric ratios csc, sec and cot. csc θ = Hypotenuse / Opposite side. sec θ = Hypotenuse / Adjacent side. cot θ = Adjacent side / Opposite side. Example 1 : In the right triangle shown below, find the values of csc B, sec B, cot B.

What is csc and cot in math?

csc θ = Hypotenuse / Opposite side. sec θ = Hypotenuse / Adjacent side. cot θ = Adjacent side / Opposite side. Example 1 : In the right triangle shown below, find the values of csc B, sec B, cot B.