Without the aid of a calculator, what is the value of this expresion, tan(arcsin 1/3 + arccos 1/2)?

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- Aug 25th 2009, 08:40 AM #1

- Aug 25th 2009, 09:06 AM #2
Use formula for tan(a+b)

Note tan(arcsin(1/3)) = 1/sqrt(8) Draw a rt triangle with an angle whose sine is 1/3 you should get a 1-sqrt(8)- 3 triangle

tan(arcos(1/2)) = sqrt(3) Draw a rt triangle with an angle whose cosine is 1/2 you should get a 1 - sqrt(3) - 2 triangle

- Aug 25th 2009, 10:58 AM #3

- Aug 26th 2009, 04:13 AM #4