# How do you solve trigonometric equations by factoring?

## What are the 6 trig functions of 0?

The value of trigonometric ratios are,cos0∘=1,sin0∘=0,tan0∘=0,cot0∘=∞,sec0∘=1,csc0∘=∞.

## What are the 6 basic steps for solving trig equations?

1. Put the equation in terms of one function of one angle.
2. Write the equation as one trig function of an angle equals a constant.
3. Write down the possible value(s) for the angle.
4. If necessary, solve for the variable.
5. Apply any restrictions on the solution.

## How are trigonometric functions of 0 defined?

Trigonometric functions are undefined when they represent fractions with denominators equal to zero. Cosecant is the reciprocal of sine, so the cosecant of any angle x for which sin x = 0 must be undefined, since it would have a denominator equal to 0. The value of sin (0) is 0, so the cosecant of 0 must be undefined.

## What trigonometric functions are undefined in 0?

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.

## How many solutions on the interval 0 2020π does the equation?

Expert-verified answer and in interval [0, 2020π] = 2 * 2020 + 1 = 4041 solution.

## Will there always be solutions to trigonometric equations?

There will not always be solutions to trigonometric function equations.

## What is the value of sin ∅?

Sine is one of the primary trigonometric functions which helps in determining the angle or sides of a right-angled triangle. It is also called trigonometric ratio. If theta is an angle, then sine theta is equal to the ratio of perpendicular and hypotenuse of the right triangle. To be noted the value of sin 0 is also 0.

## How do you find all trigonometric values?

1. Sine θ = Opposite side/Hypotenuse = BC/AC.
2. Cos θ = Adjacent side/Hypotenuse = AB/AC.
3. Tan θ = Opposite side/Adjacent side = BC/AB.

## For what value of θ is Cotθ undefined?

In fact, the value returned by the cotangent function for an angle of zero degrees, one hundred and eighty degrees or three hundred and sixty degrees is considered to be undefined, since the equation cot (θ ) = 1/tan (θ ) will involve division by zero.

## Why is tan 270 undefined?

Explanation: For tan 270 degrees, the angle 270° lies on the negative y-axis. Thus tan 270° value is not defined. Since the tangent function is a periodic function, we can represent tan 270° as, tan 270 degrees = tan(270° + n × 180°), n ∈ Z.

## What is the easiest way to solve trigonometric identities?

1. Multiply the denominator by a CONJUGATE.
2. Get a COMMON DENOMINATOR.
3. SPLIT UP A FRACTION into two separate fractions.
4. Rewrite everything in terms of SINE AND COSINE.