please help me solve this for tomorrows test

sin (2 theta + 40) = -1
For what basic reference angle value is the sine equal to -1? Then to what is 2@ + 40 equal? Then to what is @ equal?

If you get stuck, please reply showing your answers to the above questions. Thank you! ;)
 
the base reference angle for sin theta = -1 is 270 degrees.

i am supposed to find all solutions of theta, between 0 and 360.

sin (2 theta + 40) = sin 270
sin (2 theta + 40) = sin 270
2 theta = 230
theta = 115

is this the right direction

thanks - so much
 
Last edited:
the base reference angle for sin theta = -1 is 270 degrees.

i am supposed to find all solutions of theta, between 0 and 360.

sin (2 theta + 40) = sin 270
sin (2 theta + 40) = sin 270
2 theta = 230
theta = 115

is this the right direction
Yes, that's the way to go. Now, did the exercise give an interval on which to find solutions, or are you supposed to find all solutions (that is, supposed to find a formula)? Thank you! ;)
 
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