Here are some problems from my math I need the answer of all

Here are some problems from my math, I need the answer of all 4-9 in exact vale, emergency, thanks :)

4. -1 points SPreCalc7 7.3.009 Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) a cos(x) 0 sin(2x) cos(2x) tan(2x) -1 points SPreCalc7 7.3.029 Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. (a) 2 sin cos (16°) (16°) (b) 2 sin(40) cos(40) -1 points SPreCalc7 7.3.031 Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. (a) cos (37°) sin 37 (b) cos (60) sin (60)

Solution

tan x=-1/4 and cos x>0

theresore sin x is negative

hypotenuse=sqrt(16+1)=sqrt 17

sin x= -1/sqrt17

cos x=4/sqrt17

sin 2x= 2sin x cos x= 2(-1/sqrt17)(4/sqrt17)= -8/17

cos2x=2cos²x-1 = 2(4/sqrt 17) -1 =15/17

tan 2x= sin 2x/cos 2x= -8/15