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
Answer:
5/5
Step-by-step explanation:
5/5 because 9/5 equals 1.8 and that's over 1. If you have 5/5 it's 1 because your just saying 5 out of 5.
The answer is 225
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Answer:
1/3 , 4/15 , 5/6
Step-by-step explanation:
All you have to do is plug the fractions in your calculator and you see that 1/3, 4/15, and 5/6 are repeating, but the others stop after only a couple of decimal places.
Hope this helps!
