can u please help me answer this question and also please wr

can u please help me answer this question and also please write clearly so I can understand thank

9. Find the values of a and b 10. Find the values of the six trigonometric functions of o such that Cose s-, lies in Quadrant li

9) As we can see from figure that it is a right angled triangle ,

Hypotenuse = 15 base = a Perpendicular = b

Applying trigonometery,

Sin(39) = b/15

=> b = 15Sin(39)

=> b = 9.4398

Cos(39) = a/15

=> a = 15Cos(39)

=> a = 11.6571

10)we know Cosx = -4/5, Using x for theta

using identity Sin²x + Cos²x =1

=> Sin²x = 1 - Cos²x

=> Sin²x = 1 - (-4/5)²

=> Sin²x = 1 - (16/25)

=> Sin²x = 25-16/25

=> Sin²x = 9/25

=> Sinx = sqrt(9/25)

=> sinx = + 3/5 or -3/5

As x is in 3rd Quadrant , it means that sinx is -ve

=> Sinx = -3/5

Tanx = Sinx/Cosx = (-3/5)*(-5/4) = 3/4

Cosecx = 1/Sinx = 1/(-3/5) = -5/3

Secx= 1/Cosx = 1/(-4/5) = -5/4

Similarly Cotx = 1/Tanx = 1/(3/4) = 4/3

All trigonomtereic values are Sinx= -3/5, Cosx= -4/5 , Tanx= 3/4, Cosecx= -5/3, Secx= -5/4, Cotx = 4/3