SOLUTION: Compute (sin 20)(tan 10+cot 10)

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Question 1112840: Compute (sin 20)(tan 10+cot 10)
Found 3 solutions by Alan3354, greenestamps, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


Sorry we have so many "tutors" here who think they are being funny by giving useless responses to your real questions....

sin%2820%29%2A%28tan%2810%29%2Bcot%2810%29%29

= sin%2820%29%2A%28%28sin%2810%29%2Fcos%2810%29%29%2B%28cos%2810%29%2Fsin%2810%29%29%29 (change everything to sin and cos)

= (add the fractions with a common denominator)

= sin%2820%29%2A%281%2F%28sin%2810%29cos%2810%29%29%29 (sin^2+cos^2=1)

= sin%2820%29%2A%282%2F%282%28sin%2810%29cos%2810%29%29%29%29

= sin%2820%29%2A%282%2F%28sin%2820%29%29%29 (double angle formula for sin)

= 2

Answer by ikleyn(52887) About Me  (Show Source):
You can put this solution on YOUR website!
.
What is interesting in this problem that you can read "20" as 20 degrees or 20 radians - the results is the same 2 independently of an unit.