Question

Use the table if trig functions to locate the function for sin 30

Answer 1

From the table of trigonometric functions, we have the folllowing

19)

`\sin \mleft(30^(\circ\: )\mright)=(1)/(2)`

20)

`\cos \mleft(35^(\circ\: )\mright)=0.8192`

21) and 22)

we can find these angles using the following trigonometric functions

`\tan \alpha=(29.44)/(15)\rightarrow\alpha=\arctan \mleft((29.44)/(15)\mright)=63^(\circ\: )`

for the other angle, we have

`\tan \beta=(15)/(29.44)\rightarrow\beta=\arctan \mleft((15)/(29.44)\mright)=27^(\circ\: )`

23 and 25)

now, we will use the sine and cosine functions

`\sin \theta=(13.25)/(18.74)\rightarrow\theta=\arcsin \mleft((13.25)/(18.74)\mright)=45^(\circ\: )`

for the other angle, we have

`\cos \omega=(13.25)/(18.74)\rightarrow\omega=\arccos \mleft((13.25)/(18.74)\mright)=45^(\circ\: )`

And, since this is a right triangle, the last one is 90°