In what quadrant is secant positive and tangent negative?

Sine and cosecant are positive in Quadrant 2, tangent and cotangent are positive in Quadrant 3, and cosine and secant are positive in Quadrant 4.

What quadrant if the tangent is negative?

second quadrant
The tangent ratio is y/x, so the tangent will be negative when x and y have opposite signs. This occurs in the second quadrant (where x is negative but y is positive) and in the fourth quadrant (where x is positive but y is negative).

What quadrant is tan and SEC positive?

In the second quadrant (II), sine (and cosec) are positive. In the third quadrant (III), tan (and cotan) are positive. In the fourth quadrant (IV), cos (and sec) are positive.

In which quadrant does an angle of terminate?

Since the cosine of the angle is positive, the sine of the angle must be negative and the terminal side of the angle lies in either Quadrant III or IV. If sin θ is negative, the terminal side of θ lies in either Quadrant III or IV.

What quadrant is tan positive?

This can be summed up as follows: In the fourth quadrant, Cos is positive, in the first, All are positive, in the second, Sin is positive and in the third quadrant, Tan is positive.

What quadrants are secant values negative?

Since r is a radius, it must be positive, so sec(x) is negative anywhere x is negative. This is in Quadrants II and III .

What quadrants is secant negative?

Since − 5 π 6 \displaystyle -\frac{5\pi }{6} −65π​ is in the third quadrant, where both x and y are negative, cosine, sine, secant, and cosecant will be negative, while tangent and cotangent will be positive.

What quadrant is tan?

Quadrants and the “cast” Rule In the first quadrant, the values for sin, cos and tan are positive. In the second quadrant, the values for sin are positive only. In the third quadrant, the values for tan are positive only.

In what quadrants is Secant negative?

How do you find the quadrant of a negative angle?

When we think of angles, we go clockwise from the positive x axis. Thus, for negative angles, we go counterclockwise. Since each quadrant is defined by 90˚, we end up in the 3rd quadrant.

In what quadrant does the angle terminate if its cosine and tangent are both negative?

for angles with their terminal arm in Quadrant II, since sine is positive and cosine is negative, tangent is negative. for angles with their terminal arm in Quadrant III, since sine is negative and cosine is negative, tangent is positive.

What angle is tan?

In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as ‘tan’.

What quadrant is the tangent negative in?

Answer Wiki. tangent is negative in the second and fourth quadrant. Secant is the reciprocal of cosine and is positive in the first and fourth quadrant. That means you are looking at the fourth quadrant.

What is the difference between secant and tangent?

Secant is the reciprocal of cosine and is positive in the first and fourth quadrant. That means you are looking at the fourth quadrant. Fourth quadrant. Secant has the same sine as cosine, it is positive in the first and the fourth quadrant. Tangent is negative in the second and the fourth quadrant.

Which quadrants will the secant be positive in the quadrants?

Therefore, the secant will be positive in the quadrants where the cosine is positive. How to use the sine, cosine, tangent, and cotangent table. Examples

What are the secants of the angles that end in IV?

By definition of the secant: secant is: Therefore, the secant will be positive in the quadrants where the cosine is positive. So, secants of the angles: that end in quadrants I and IV are positive;