Find tane sec and sin where is the angle shown in the figu

Find tane, sec , and sin , where is the angle shown in the figure. Give exact values, not decimal approximations. tan = sece = I sine =

Solution

Triangle : hypotenuse = sqrt( 5^2 +7^2) = sqrt(74)

tan(theta) = height/base = 7/5

sec(theta) = 1/cos(theta) = hypotenuse/base = sqrt(74)/5

sin(theta) = height/ hypotenuse = 7/sqrt(74)