using exact values, find, the value of : 12 sin 30degress - 6 tan 45 degrees + sec 45 degrees / 52?

Answer 1

12 * 0.5 - 6 * 1 + sqrt(2) / 52
= sqrt(2) / 52

Answer 2

I'm going to assume that the 52 only goes with the last term, so that it's written as is.

12 sin(30) - 6 tan(45) + sec(45) / 52
12(1/2) - 6(1) + √2/52
6 - 6 + √2/52
√2/52

Answer 3

Using a unit circle or whatever else you have learned we can replace the trig values with numbers.

12 sin 30degress - 6 tan 45 degrees + sec 45 degrees / 52

12sin30degrees is the same as 12 (0.5) because sin 30 = 0.5

6tan45degrees is the same as 6 (1) because tan45 = 1 (this is because sin45 and cos45 are equal, meaning that they divide each other to be 1.

Finally, sec45/52 is the same as (1/cos45)/52 because sec is a reciprocal identity. cos45 is root 2 / 2 and 1 over root 2/2 is 2/root 2 which is the same as root 2. Therefore putting it all together we get:

6 - 6 + root 2 over 52

Therefore the answer is root 2 over 52 since the 6's cross out.

Hope I Helped!

Answer 4

=[6 -6 + sqrt(2)]/52 = sqrt(2)/52

Answer 5

6 - 6 + sqrt2 / 52
0 + sqrt2/52
sqrt2/52

Answer 6

i'm not exactly positive that this is the right answer, but i worked it out many times and got this...

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