Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thirteen-fifths; cotangent theta = Negative five-twelfths What are the coordinates of point (x, y) on the terminal ray of angle Theta, assuming that the values above were not simplified? (–5, 12) (5, –12) (–12, 5) (12, –5)

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

Now, we know the following identities:

Now, the values are:

Sine value is positive and cos, tan values are negative.

It can be clearly observed that is in 2nd quadrant.

2nd quadrant means, the value of will be negative and will be positive.

Let us have a look at the value of :

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.