Question

In a right triangle JKL, what is the value of cos(L)?

a) sin(J)
b) tan(K)
c) cos(L)
d) sec(J)

Answer 1

In a right triangle JKL, the value of cos(L) equals sin(J) because L and J are complementary angles; hence, the correct option is a) sin(J).

Step-by-step explanation:

In a right triangle JKL, the value of cos(L) is related to the angles and sides of the triangle. By using the basic definition of cosine for right triangles, which is the ratio of the length of the adjacent side to the hypotenuse, we examine the relationship between the given options. The correct option that represents cos(L) can be determined with the help of trigonometric identities and the Pythagorean theorem.

To find cos(L), we consider the opposite angle at vertex J, which gives us cos(L) = sin(J) due to the complementary nature of these angles in a right triangle. Therefore, the value of cos(L) is equal to sin(J), making option a) sin(J) the correct choice.