Math  /  Trigonometry

QuestionSelect expressions equivalent to: SELECT ALL APPLICABLE tan(x+y)\tan (x+y) sin(x+y)cos(x+y)\frac{\sin (x+y)}{\cos (x+y)} A) C) sin(x)cos(y)cos(x)cos(y)+cos(x)sin(y)cos(x)cos(y)cos(x)cos(y)cos(x)cos(y)+sin(x)sin(y)xcos(x)\frac{\frac{\sin (x) \cos (y)}{\cos (x) \cos (y)}+\frac{\cos (x) \sin (y)}{\cos (x) \cos (y)}}{\frac{\cos (x) \cos (y)}{\cos (x) \cos (y)}+\frac{\sin (x) \sin (y)}{x \cos (x)}} B) sin(x)cos(y)+cos(x)sin(y)cos(x)cos(y)sin(x)sin(y)\frac{\sin (x) \cos (y)+\cos (x) \sin (y)}{\cos (x) \cos (y)-\sin (x) \sin (y)}

Studdy Solution
Compare the simplified expressions to the identity:
- Expression A: sin(x+y)cos(x+y)\frac{\sin(x+y)}{\cos(x+y)} (equivalent) - Expression B: sin(x+y)cos(x+y)\frac{\sin(x+y)}{\cos(x+y)} (equivalent) - Expression C: Does not simplify to tan(x+y)\tan(x+y).
The expressions equivalent to tan(x+y)\tan(x+y) are A and B.

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