Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (6,-5) lies on its terminal side.

Given : The point with coordinates (6,-5) lies on its terminal side.

To find :  The values of the six trigonometric functions of an angle in standard position

Solution :

The coordinates (6,-5) lies in the 4 quadrant.

Refer the attached figure.

where x=6 is the base

y= -5 is the perpendicular

Applying Pythagoras theorem,

Now, finding trigonometric function

Note - In fourth quadrant only cos and sec is positive rest are negative.

1 )  

2)

3)

4)

5)

6)

it has the same slope and a different y-intercept

hope this : )

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!