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:
If you pick the number 2, you will get (2) - 10 = 8
But the way he said it, it would be: (2) - 2 * 5 = 0
The correct way would be to write the expression: (x - 3) * 5
Answer:
The question continues ; Suppose that P(A) = 0.625 and P(B) = 0.05, what is P(B|A)
Step-by-step explanation:
The steps are as shown in the attachment
Fraction division is basically multiplication of a reciprocal.
For example (1/4)/(1/8) = (1/4)x(8/1)=2
Multiplication of the answer and the piece that divides (in this case 2 x 1/8), you should get the piece that is being divided (in this case 1/4). If that is correct, then your division is correct.
