SOLUTION: Write the expression as the sine, cosine, or tangent of an angle. sin 48� cos 15� - cos 48� sin 15� And also: Find all solutions to the equation. cos x = sin x An

Question 683726: Write the expression as the sine, cosine, or tangent of an angle.
sin 48� cos 15� - cos 48� sin 15�
And also:
Find all solutions to the equation.
cos x = sin x
And:
Verify the identity.
4 csc 2x = 2 csc2x tan x

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Write the expression as the sine, cosine, or tangent of an angle.
sin 48� cos 15� - cos 48� sin 15�
Identity: sin(s-t)=sin s cos t-cos s sin t
sin 48� cos 15� - cos 48� sin 15�=sin(48�-15�)=sin 33�
..
And also:
Find all solutions to the equation.
cos x = sin x
tan x=cos x/sin x=1
x=45�+360�k, x=225�+360�k, k=integer
..
And:
Verify the identity.
4 csc(2x) = 2 csc^2x tan x
start with right side
2csc^2x tanx
=2/sin^2x*sinx/cosx
=2/sinx cosx
multiply top and bottom by 2
=4/2sinx cosx
=4/sin(2x)
=4csc(2x)
verified: right side=left side
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