ANSWER

EXPLANATION
The given trigonometric equation is

We factor cos(x) to get:

Apply the zero product property to obtain:


Using the unit circle,

when

and

We know

when

The sine function is negative in the third and fourth quadrants.


Hence the solutions are:

Answer:m 1/4
Step-by-step explanation:
Answer:
5! (5 factorial) or 120 ways
Step-by-step explanation:
You can arrange P different ways. R can be arranged only 4 different ways because Pwill be in one of the spots. Next, you can arrange "I" 3 different ways because P and R are already arranged in 2 spots, meaning you cant put "I" there. Next, S can be arranged in 2 different ways for the same reason. And lastly, M can only be arranged in 1 different way because the other spots are taken.
You can put it in any order. For example, M could be arranged 5 ways and P could be arranged in 1 way. You will still get 120 ways
Hopefully this helped. The explanation might be a bit confusing but I tried my best. I'm not good with explaining my solutions but I always try
Answer:
a)29
b)70
Step-by-step explanation:
The sum of the interior angles in a triangle is 180.
a)95+56+a=180 b)40+2b=180
151+a=180 2b=180-40
a=180-151 2b=140 /2
a=29 b=70