SOLUTION: Let sin(45°)=0.7071. Enter the angle measure (μ), in degrees for cos(μ)=−0.7071. any value equivalent to 360n + , where n is an integer

Algebra ->  Trigonometry-basics -> SOLUTION: Let sin(45°)=0.7071. Enter the angle measure (μ), in degrees for cos(μ)=−0.7071. any value equivalent to 360n + , where n is an integer       Log On


   

Question 1152699: Let sin(45°)=0.7071. Enter the angle measure (μ), in degrees for cos(μ)=−0.7071.
any value equivalent to 360n +
, where n is an integer
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If the sin is positive and the cos is negative,
the angle +mu+ has to be in the 2nd
quadrant.
+mu+=+360n+%2B+90+%2B+45+
+mu+=+360n+%2B+135+

Answer by ikleyn(53751) About Me  (Show Source):
You can put this solution on YOUR website!
.


If cos(μ) = -sin(45°), as it is given in the condition, then there are two possibilities for μ :


    a)  EITHER  μ = 135° + n*360°,


    b)  OR      μ = 225° + n*360°,


where n is any integer number.


Ignore the answer by @josmiceli, since it is partly incomplete and partly irrelevant.