Find tan (22.5)
Answer: #-1 + sqrt2#
Explanation:
Call tan (22.5) = tan t --> tan 2t = tan 45 = 1
Use trig identity: # tan 2t = (2tan t)/(1 - tan^2 t)# (1)
#tan 2t = 1 = (2tan t)/(1 - tan^2 t)# -->
--> #tan^2 t + 2(tan t) - 1 = 0#
Solve this quadratic equation for tan t.
#D = d^2 = b^2 - 4ac = 4 + 4 = 8# --> #d = +- 2sqrt2#
There are 2 real roots:
tan t = -b/2a +- d/2a = -2/1 + 2sqrt2/2 = - 1 +- sqrt2
Answer:
#tan t = tan (22.5) = - 1 +- sqrt2#
Since tan 22.5 is positive, then take the positive answer:
tan (22.5) = - 1 + sqrt2
2.36 is the answer because if you subtract 24.75 from 53.07 and then divide your answer by 12 is how you get your answer
Answer:

<h3>Answer B is correct</h3>
Answer:

Step-by-step explanation:
To write
as a decimal.
Decimal defined as the number with a decimal point in it.
also, the decimal point separates part of whole number and the fractional part in the decimal numbers.
To turn this fraction into a decimal number,
all you have to do is to divide the top number by bottom number i.e


Therefore, 7/12 as a decimal is, 0.583333333....
<span>All of the following are examples of composite numbers except which one?
2.</span>