In right triangle XYZ, angle Y is a right angle. What is the relationship between angles X and Z? What is the relationship between sin X and cos Z?

a) Angles X and Z are supplementary, and sin X= cos Z

b) Angles X and Z are complementary, and sin X= cos Z

c) Angles X and Z are supplementary, and sin X= 1 - cos Z

d) Angles X and Z are complementary, and sin X= 1 - cos Z​

Respuesta :

Answer:

B

Step-by-step explanation:

The angles of X and Z are supplementary and sinX and cosZ will be the same hence, option (b) will be correct.

What is a trigonometric function?

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

Given that in triangle Y is 90° since in any triangle sum of all three angles will be 180° so remaining angle Z and Y will be total of 90° hence these will be complementary.

In right angle triangle sinX = cosZ because the perpendicular for X act like a base for Y.

For more information about the trigonometric function

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