Find the exact value of csc(-1740)degrees

let's recall that negative angles go clockwise, so we have -1740°, how many revolutions is that?  1740 - 360 - 360 - 360 - 360 = 300, meaning, that 360 + 360 + 360 + 360 + 300 = 1740.

So, if we move clockwise and go around 4 times over, and then land on -300°, we'll be landing on the 1st Quadrant as you see in the picture below.

Step-by-step explanation:

Consider

We know that angle lies in fourth quadrant and is negative in the fourth quadrant .

So,

We can write as

Therefore,

Here, lies in fourth quadrant in which cosec function is negative, so

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!