evaluate the expression trig & altitude?

Question

evaluate the expression

1. arcsin(sin(tan(arccos 5/13)))

2. cos(arctan 17/12)

word problem:
When an airplane leaves the runway, its angle of climb is 18 degrees and its speed is 275 feet per second. Find the plane's altitude after 1 minute.

anyone? 10 pts

Answer 1

1.
First solution:
arcsin(sin(tan(arccos 5/13))) = tan(arccos 5/13) = tan 1.176005 = 2.4
Second solution:
= tan 1.965587 = -2.4
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2.
First solution:
cos(arctan 17/12) = cos 0.956133 = 0.576683
Second solution:
= cos 4.097726= -0.576683
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3.
Altitude = (275 ft/s) * (60 s) * (sin 18°) = 5099 feet
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