Answer:
Step-by-step explanation:
8)
co-terminal angle for -960... can you tell me? :D w/o looking at my answer below?
Your answer for co-terminal angle is ______________ :)
960 - 360 = 600
600 - 360 = 240
this is telling us that going in a clock wise direction.. as the -960 is, that the co-terminal angle is 240, which seems about right.. looking at the graph. so now. let's take 240 away from 360 to find that co-terminal angle but going in the positive direction or the counter clock wise direction
360-240 = 120
and yes.. that does look like 120 ° going in the positive direction.
now do you know the sec identity to use sin and cos???
look at the below diagram
sin sec
cos csc
tan cot
the trig function line up like that for a reason
sin 1/sin
cos 1/cos
sin/cos cos/sin
I put them in their sin and cos identities.. see.. they all line up that way
sec = 1/sin
csc = 1/cos
tan = sin/cos
cot = cos/sin
now... find
sec(120) = 1/sin(120)
do you know how to find sin(120) ?????
put it back to it's co-terminal angle in the 1st quadrat... I hope you know how to do this.. i'll just speed along... assuming you do
sin(120) = sin(60)= √3/2
so sec(120) = 1 / √3/2
so sec(120) = 2/ √3
10)
csc(315) = 1/cos(315)
find the co-terminal angle that you know in the 1st quadrant again...
so 315 = 45 in the 1st quadrant.. I just looked and can see that
so
csc(315) = 1/cos(315 = 1/cos(45) and cos(45) = √2/2
so then 1 / √2/2 = 2 / √2
csc(315) = 2 / √2
what i'm really wondering about.. is .. where is question 9)
:DDD
