Trig Homework Help?

Question

1) If x is an angle in Quadrant II and tan^2x-3=0, what is the value of x? 
2) If f(x) = 2cos^2x+sinx-1. Find the value of f(pi/2) 
3) A sound wave is modeled by the curve y=3sin4x. What is the period of this curve? 
4) The speed of sound , v, at temperature T, in degrees Kelvin, is represented by the equation v = 1087√T/273. Which expreaaion is equivalent to log v? 

Thanks

 

Answer 1

2) 

         [ Since ]

                          [ Since ]

The answer is .

Answer 2

1)

The expression is .

Here x is in the second quadrant.

So, the tangent is negative.

The value of .

Answer 3

3) Curve is y = 3sin4x.

Period of the AsinBx is 2π/B.

Therefore A=3 and B=4.

Therefore period of 3sin4x is 2π/4 where B=4.

The period of the curve y = 3sin4x is 2π/4.

Answer 4

4) The speed of sound v, at temperature T, in degrees Kelvin, is represented by the equation

Apply each side by  logarithm.

Product property of logarithms :

Power property of logarithms :

Quotient property of logarithms: