Posted by **Jared Smith** on Monday, November 14, 2011 at 8:33pm.

If sin(t) = -2/48 and cos(t) < 0 what is the value of cos(t) to the nearest thousandth?

If sin(t) = -14/34 and cos(t) < 0, what is the value of tan(t) to the nearest thousandth?

If tan(t) = -15/19 and sin(t) < 0, what is sin(t) to the nearest thousandth?

If tan(t) = 11/-12 and sin(t) < 0, what is cos(t) to the nearest thousandth?

The path of a projectile fired at an inclination t0 to the horizontal with initial velocity v feet per second is a parabola. The horizontal distance R, in feet, that the projectile travels is given by R = v2sin(2t)/32.2. What is R if v = 152 and t = 74? Give your answer to the nearest thousandth.

Show the steps please!

- trig -
**Reiny**, Monday, November 14, 2011 at 9:15pm
I will do the first, then you do the remaining ones in the same way

sin t = -2/48 = -1/24 and cos t < 0

therefore t must be in quadrant III ( by CAST rule)

I make a triangle, the missing side is x

x^2 + 1^2 = 24^2

x = √575

then in III, cos t = -√575/24 = appr. -.999

or

take sin^-1 (+1/24) to get 2.388°

so in III , t = 180+2.388 = 182.388°

cos 182.388° = appr. -.999

## Answer This Question

## Related Questions

- Trig - Given: cos u = 3/5; 0 < u < pi/2 cos v = 5/13; 3pi/2 < v < ...
- TRIG! - Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6...
- Mathematics - Trigonometric Identities - Let y represent theta Prove: 1 + 1/tan^...
- trig - Reduce the following to the sine or cosine of one angle: (i) sin145*cos75...
- precalculus - For each of the following determine whether or not it is an ...
- tigonometry - expres the following as sums and differences of sines or cosines ...
- Trigonometry - 1.Solve tan^2x + tan x – 1 = 0 for the principal value(s) to two ...
- algebra - Can someone please help me do this problem? That would be great! ...
- MathsSs triG - Consider sin(x-360)sin(90-x)tan(-x)/cos(90+x) 1.A.SIMPLIFY sin(x-...
- trig - it says to verify the following identity, working only on one side: cotx+...

More Related Questions