The value for sin 45 degrees and other trigonometry ratios for all the degrees 0°, 30°, 60°, 90°,180° are generally used in trigonometry equations….Sin 45° = /sqrt{2/4} = 1//sqrt{2}

There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot.

There are three basic trigonometric ratios: sine , cosine , and tangent . Given a right triangle, you can find the sine (or cosine, or tangent) of either of the non- 90° angles.

We know that the cosecant is the reciprocal of the sine. Since sine is the ratio of the opposite to the hypotenuse, cosecant is the ratio of the hypotenuse to the opposite.

Use tangent ratio to calculate angles and sides (Tan = a o ) Tangent ratio is the ratio of opposite side to adjacent side of a right triangle. Same as the sine and cosine ratios, tangent ratios can be used to calculate the angles and sides of right angle triangles.

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

Use cosine ratio to calculate angles and sides (Cos = a h /frac{a}{h} h a​ ) Cosine ratios are exactly the same idea of sine ratios or tangent ratios. The only difference between it and the other two trigonometric ratios is that it is the ratio of the adjacent side to the hypotenuse of a right triangle.

Now angle a will be calculated using Cos-1 or inverse cosine function. ∠a = π/6 = 30°….Quiz Time.

Tangent 90 degrees is evaluated as undefined because tan of an angle is equal to the ratio of sin and cos of same angle. Since, sin 90 = 1 and cos 90 = 0, therefore; As we have got the result as infinity and we cannot define infinity, therefore tan 90 is undefined.

Trigonometric functions are undefined when they represent fractions with denominators equal to zero. Secant is the reciprocal of cosine, so the secant of any angle x for which cos x = 0 must be undefined, since it would have a denominator equal to 0.

At 90 degrees we must say that the tangent is undefined (und), because when you divide the leg opposite by the leg adjacent you cannot divide by zero. At 270 degrees we again have an undefined (und) result because we cannot divide by zero..

Answer: The value of 270º for all the six trigonometric ratios are: sin 270° = – 1, cos 270° = 0, tan 270° = Undefined, csc 270° = – 1, sec 270° = Undefined, cot 270°= 0.

Answer and Explanation: The tangent function, tan(x) is undefined when x = (π/2) + πk, where k is any integer.

First, the the secant, cosecant, and cotangent functions are the reciprocals of the cosine, sine, and tangent functions, respectively. Second, there is no value for which the cosine and sine functions are undefined. This is because r is the distant from the origin to the point (x,y) ≠ (0,0) on the terminal ray.

Sine and cosine functions are never undefined on unit circle. They are defined at every point of a unit circle. Because according to definitions of Sine and cosine, cosine is the x-coordinate of a point moving along unit circle. Likewise, Sine is the y-coordinate of that moving point.

When you work with angles in all four quadrants, the trig ratios for those angles are computed in terms of the values of x, y, and r, where r is the radius of the circle that corresponds to the hypotenuse of the right triangle for your angle.

The secant, sec x, is the reciprocal of the cosine, the ratio of r to x. When the cosine is 0, the secant is undefined. When the cosine reaches a relative maximum, the secant is at a relative minimum.

180°

Because the cotangent function is the reciprocal of the tangent function, the cotangent value will be undefined when the tangent value is zero, and zero when the tangent value is undefined. Like the tangent function, the period of the cotangent function is one hundred and eighty degrees (180°), or π.

Secant (sec) – Trigonometry function In a right triangle, the secant of an angle is the length of the hypotenuse divided by the length of the adjacent side. In a formula, it is abbreviated to just ‘sec’. They can be easily replaced with derivations of the more common three: sin, cos and tan.