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

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asked May 26, 2024 204k views

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

Mathematics
high-school

CervEd asked

by CervEd

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Answer:

Explanation:

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

Raunak Kathuria answered May 30, 2024

by Raunak Kathuria

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