Question

In ΔABC, ∠CAD = 22° and segment CB = 15 cm. If the cos of 22° = 0.9272, then the sin of ∠C = _______.

Answer 1

You can calculate
`\sin22^(\circ)` using formula:

`\cos^222^(\circ)+\sin^222^(\circ)=1`.
Then
`\sin^222^(\circ)=1-\cos^222^(\circ)` and

`\sin^222^(\circ)=1-( 0.9272)^2=0.14030016 \\ \sin22^(\circ)= √(0.14030016) =0.3746`.
Answer:
`\sin22^(\circ)=0.3746`