Question

50 points! please help!.​

Answer 1

cos theta = 7/25

Explanation:

sin theta = opp / hyp

We can find the adj side by using the pythagorean theorem

adj ^2 + opp ^2 = hyp^2

adj^2 + (-24)^2 = 25^2

adj^2 +576 = 625

adj^2 =625 -576

adj^2 = 49

Taking the square root of each side

adj = 7

Since we are in the 4th quadrant, adj is positive

cos theta = adj / hyp

cos theta = 7/25

Answer 2

Solution given:

Sin
`\theta_(1)=(-24)/(25)`

`(opposite)/(hypotenuse)=(-24)/(25)`

equating corresponding value

opposite=-24

hypoyenuse=25

adjacent=x

By using Pythagoras law

hypotenuse²=opposite²+adjacent²

25²=(-24)²+x²

625=576+x²

x²=625-576

x=49

x=
`√(49)=7`

In IV quadrant

Cos angle is positive

Cos
`\theta_(1)=(adjacent)/(hypotenuse)`

Cos
`\theta_(1)=(7)/(25)`