Hint: note that

Hint:2. same as above except:

sec(x) +sin(x)

Hint: since we are in the first quadrant, the secant is positive. now note that3.find sec(x) if tan(x)=3/4 and x is in quadrant one.

Hint: factor out the common cosine, you get4. find all real numbers in the interval [0,2pi] that satisfy the equation:

2sin(x)cos(x)+cos(x)=0

or

now find ....you should know the values by heart that do this

Hint: note that you have5. same as #4 except:

sin(x)=1-2sin^2(x)

this is quadratic in (if you let you would have )

thus we can solve this for like a quadratic equation. then we can find what is.