Posted by **Michelle** on Saturday, August 17, 2013 at 10:51pm.

1. Find the exact value of sin(195(degrees))

2. If cot2(delta)=5/12 with 0(<or =)2(delta)pi, find cos(delta), sin(delta) , tan(delta).

3.find the exact value of sin2(x) if cos(x)= 4/5. (X is in quadrant 1)

4. Find the exact value of tan2(x) if sin(x)=5/13. ((X) in quadrant 2)

5. Solve sin2(x)+sin(x)=0 for 0<or=x<or=2pi.

6. Write 2sin37(degrees)sin26(degrees) as a sum (or difference).

- Trig hep, please? Thank you! -
**Reiny**, Sunday, August 18, 2013 at 12:00am
1.

sin 195°

= - sin15° , by CAST

we know cos 30° = 1 - 2 sin^2 15°

√3/2 = 1 - 2sin^2 15°

2sin^2 15 = 1 - √3/2 = (2-√3)/2

sin^2 15° = (2-√3)/4

sin 15 = √((2-√3)) /2

so sin 195

= -sin15

= -√((2-√3)) /2

3. given cos x = 4/5 , x in I

then by Pythagoras, sinx = 3/5

sin 2x = 2sinx cosx

= 2(3/5)(4/5) = 24/25

5.

sin 2x + sinx = 0 , 0 ≤ x ≤ 2π

2sinxcosx + sinx = 0

sinx(2cosx + 1) = 0

sinx = 0 or cosx = -1/2

x = π/2

x = 3π/2

x = π-π/3 = 2π/3 ---- ( 120°)

Give the others a try, let me know what you got

x = π+π/3 = 4π/3 ---- (240°)

- Trig hep, please? Thank you! -
**michelle**, Sunday, August 18, 2013 at 11:24am
thanks! what do the question marks stand for.

and also CAST?

- Trig hep, please? Thank you! -
**michelle**, Sunday, August 18, 2013 at 11:24am
I will try the others soon.

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