Use tables to solve the following correct to the nearest 1/10 of a degree.a)8sin_=3.b)16cos_-12=0.c)2+3tan_=0.d)8sin_-5=0

I was going to start my response above with ...

" Unless you are a connexus student using 1960's math books, you would use a calculator"
but was afraid I might be accused of sarcasm

does a "table" have to be paper ... why not electronic?

I loved those trig tables in 1947. Had a whole book. Served me for years. Never dreamed they could be stored in electronic form. I guess that dates me.

waaaah u pple are amazing merci beacoup

I recall our library in Tacoma had volumes of tables published by the US government. They had things like 12-place tables of trig functions, for 0-45°, in increments of one second. Each volume was about two inches thick, and about 10x12 inches in size. Trigs, logs, exponentials, elliptic functions, and others.

I hesitate to confess that my dogeared copy of Burington's Handbook is right here beside my keypad.

a) dividing by 8 ... sin_ = 3/8 = .375

... locate .375 in the sine table and find the corresponding angle

all the problems work the same way

how do u get a corresponding angle

The table has two columns, right?

You can either look in the left column for the angle, then find the trig value

or you can look in the right column for the trig function value, and find the angle in the left column.

The real question here is: who uses tables any more?

I am pretty sure your teacher expects you to use your calculator instead of trig tables.

so from 8sin x =3
sinx = 3/8 = .375

on your calculator, make sure you are in DEG mode, you should see a tiny DEG displayed somewhere
on mine, an old "SHARP"
enter:
2ndF sin .375 =
and I get 22.0243... , this will be your answer in degrees

do the others the same way.
I have written down my other answers, let me know what you get so we can compare
careful with c) , the angle will not be in quadrant I

I recall having a book called "CRC Tables" or something like that, nothing but tables

including what was called mortality tables with titles like Mx>
Dealt with the probability that a person aged x would live to age x+1, others like
Nx and Dx.
Taught a course called Actuarial Math, dealing with life insurance, that used these.
That was over 55 years ago, don't recall too much about the methods.
Had to combine the probability of life/death with difference interest rates and life annuity
payments. Someday, I might want to re-learn it all, lol

I wish I could remember what happened to my little book of log tables. Thinking about my Alg II teacher, though, I probably gave it to him so another student could use it after I did!