Rewrite sin ⁡ ( x − 7 π 6 ) in terms of sin ⁡ ( x ) a n d cos ⁡ ( x )

Question

Rewrite   sin  ⁡  (  x  −            7      π        6    ) in terms of   sin  ⁡  (  x  )     a  n  d     cos  ⁡  (  x  )

plomet6a · Accepted Answer

Answer:   sin  ⁡  (  x  −            7      π        6    )  sin  ⁡  (  A  −  B  )  =  sin  ⁡  A  cos  ⁡  B  −  cos  ⁡  A  ⋅  sin  ⁡  B  sin  ⁡  (  x  −            7      π        6    )  =  sin  ⁡  x  ⋅  cos  ⁡            7      π        6    −  cos  ⁡  x  ⋅  sin  ⁡            7      π        6    =  sin  ⁡  x  (  −            3        2    )  −  cos  ⁡  x  ⋅  (  −      1    2    )  =  −            3        2    ⋅  sin  ⁡  x  +      1    2    ⋅  cos  ⁡  x  =      1    2    cos  ⁡  x  −            3        2    sin  ⁡  x

Rewrite sin(x-(7pi)/(6)) in terms of sin(x) and cos(x)

Answered question

Answer & Explanation

New Questions in Trigonometry