Sunday

April 20, 2014

April 20, 2014

Posted by **suzy** on Friday, August 16, 2013 at 4:53pm.

2. Solve cos 2x – 3sin x cos 2x = 0 for the principal value(s) to

two decimal places.

3. Solve tan2 x + tan x – 1 = 0 for the principal value(s) to two

decimal places.

4. Prove that tan2 – 1 + cos2 = tan2 sin2 .

5. Prove that tan sin + cos = sec .

6. Prove that = cos + sin .

7. Prove that .

8. Prove that = cos – cot cos .

9. Find a counterexample to shows that the equation sec – cos = sin sec is not

an identity.

sin cos

tan sin cos tan

2 2 ω ω

ωω ω ω

−

+

1 + tan

1 tan

sec + 2tan

1 tan

2

2

θ

θ

θ θ

− − θ

=

tan cos + sin

sin

10. Write tan as a function of only.

11. Write cos as a function of only.

12. Write cos(–83°) as a function of a positive angle.

13. Write sin(125°) in terms of its cofunction. Make sure your answer is a function

of a positive angle.

14. Find the exact value of sin(195°).

- trig help much appreciated! :)) -
**Steve**, Friday, August 16, 2013 at 4:58pmno ideas on any of these? Also you have some major typos and/or formatting issues.

I'll do a couple. Maybe you can clean up the post and indicate where you get stuck on the others.

#2

cos 2x – 3sin x cos 2x = 0

(1-3sinx)cos2x = 0

so, either

cos2x=0 ==> x = pi/4 or 3pi/4

sinx = 1/3 ==> x=arcsin(1/3) or pi-arcsin(1/3)

#3

tan2 x + tan x – 1 = 0

tanx = (-1±√5)/2

so find arctan of those two values and recall that tan is positive in QI,QIII and negative in QII,QIV

- trig help much appreciated! :)) -
**Suzy**, Friday, August 16, 2013 at 6:37pmalright, I will. Thanks

**Related Questions**

Trig - Hi. Can somebody help me solve this equaton with EXACT answers? ----- ...

Math - ----- If: sin(3pi / 10) = (1 + squareroot 5) / 4 Find the exact value of ...

trig - If cos 0 = - 1/2 and tan 0 > 0, find the quadrant that contains the ...

Chemistry - Given 2 moles of NaCl, find the number of moles of Na. If you could ...

Trig - find the exact values of the six trig functions of angle... sin(-...

trig - use the unit circle to find the exact value for all the trig functions of...

trig/pre -calc - hello, i don't quite understand how to do this type of problem...

trig - How do you solve sin(e^x)=0 for x? The question is "find the smallest ...

trig - How do you solve sin(e^x)=0 for x? The question is "find the smallest ...

Trig Equation - Solve for x (exact solutions): sin x - sin 3x + sin 5x = 0...