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Use the diagram above to calculate: cos(arccos(3/5)+arcsin(-4/5))

Use the diagram above to calculate: cos(arccos(3/5)+arcsin(-4/5))
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Use the diagram above to calculate:
cos(arccos(3/5)+arcsin(-4/5))

Use the diagram above to calculate: cos(arccos(3/5)+arcsin(-4/5))-example-1
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User CervEd
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1 Answer

4 votes

Answer:

1

Explanation:


\cos \left(\arccos \left((3)/(5) \right)+\arcsin(-(4)/(5) \right)=\cos(\arccos(3/5))\cos(\arcsin(-4/5))-\sin(\arccos(3/5))\sin(\arcsin(-4/5)) \\ \\ =(3/5)\cos(\arcsin(-4/5))-(-4/5)(\sin(\arccos(3/5)) \\ \\ =(3/5)(3/5)-(-4/5)(4/5) \\ \\ =1

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User Raunak Kathuria
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