Question

The point (8,-15) is on the terminal side of an angle 0 in standard position. What are the values of the three basic trigonometric functions of the angle 8? (1 point) O sin cos 0 = 15 tan o 15 O sin = 15 17 cos e tan 15 8 17 15 sino = cos e tan 17 15 O sine 15 17 cos e tane 11 15 8 17

Answer 1

we know that

The angle theta lie in the first quadrant

that means

sine, cosine and tangent are positive values

step 1

Find the value of sine

we have that

sin (theta)=y/r

y=15 -----> given value

Find the value of r

Apply Pythagorean Theorem

r^2=15^2+8^2

r^2=289

r=17

so

sin(theta)=15/17

step 2

Find the value of cosine

cos(theta)=x/r

so

cos(theta)=8/17

step 3

Find the value of tangent

tan(theta)=y/x

so

tan(theta)=15/8