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, 7, 8.5
Step-by-step explanation:
Find the mean of 4 and 10, that is
= 
= 7
Now repeat with 4 and 7 and 7 and 10
= 
= 5.5
= 
= 8.5
Hence
4, 5.5, 7, 8.5, 10 ← is an arithmetic sequence with d = 1.5
Answer: 7:3
Step-by-step explanation:
15 chairs are red
35 are blue
35:15
Simplifies to
7:3
Answer:=15x^2+250x
Step-by-step explanation:
Answer:
√(225x^7y^9) = 15 sqrt(x^7 y^9)
Step-by-step explanation:
