SOLUTION: evaluate the following 1. tan inverse [tan 3pie/4] 2. sin(cos inverse 3/5) 3. sin [ pie/2 - sin inverse (-1/2)

Algebra ->  Trigonometry-basics -> SOLUTION: evaluate the following 1. tan inverse [tan 3pie/4] 2. sin(cos inverse 3/5) 3. sin [ pie/2 - sin inverse (-1/2)      Log On


   

Question 745555: evaluate the following
1. tan inverse [tan 3pie/4]
2. sin(cos inverse 3/5)
3. sin [ pie/2 - sin inverse (-1/2)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
evaluate the following
1. tan inverse [tan 3pie/4]
I'm going to assume you mean tan^-1[tan[3/4 pi]]
1st; tan[3/4 pi] = -1
2nd: tan^-1(-1) = (3/4)pi or (7/4 pi)
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2. sin(cos inverse 3/5)
sin[cos^-1(3/5))
1st cos^-1(3/5) = 0.927
2nd sin(0.027) = 0.80
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3. sin [ pie/2 - sin^-1(-1/2)]
1st: sin^-1(-1/2) = -0.524
2nd: sin[pi/2 + 0.524] = sin[2.094] = 0.866
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Cheers,
Stan H.
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