SOLUTION: I am told to use my trigonometric tables and then find (a) find sin 26.1 degrees and then (b) find the acute angle, 0, to the nearest tenth of a degree if cos0=.8084. -These 0 ar

Question 552037: I am told to use my trigonometric tables and then find (a) find sin 26.1 degrees
and then (b) find the acute angle, 0, to the nearest tenth of a degree if cos0=.8084.
-These 0 are strange 0's with a line in the middle of the zero.
If someone could please help me with this and explain fully, I'm so confused in this area of Algebra I'm learning.
Thanks a lot!
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Angles are often represented with Greek letters.
The Greek letter theta looks like this .
Half a century ago, we used to look up values for sine and cosine in trigonometric tables. (We also looked up logarithms in tables. There were no calculators back then). I have not looked at a trigonometric table for a long time. Your table may be different from the ones I have seen. The one I used back then would have angle measurements in degrees on a column on the left, with (additional) fractions of a degree as headings on a line at the top. On the right hand side we had a column with the measure of the complementary angle in degrees (with additional fractions on a line at the bottom. The numbers in the middle of the table were sine of the angle read at left and cosine of the supplementary angle read at right.
I could not find my old table, but I have an abbreviated one. It tells me that
(a)
(b) It also says that is about 0.8084.
So if , (to the nearest tenth of a degree). Because trigonometric functions are periodic, and , there are infinity of other angles with the same cosine, like -36.1 degrees, (-36.1+360) degrees, (-36.1+720) degrees, and so on, as well as (36.1+360) degrees, (36.1+720) degrees, and so on. However, the only acute angle with is 36.1 degrees.

RELATED QUESTIONS
Let theta be an acute angle. Use the given function value and trigonometric identities to (answered by lwsshak3)

Sketch a right triangle corresponding to the trigonometric function of the acute angle... (answered by jsmallt9)

Sketch a right triangle corresponding to the trigonometric function of the acute angle... (answered by Theo)

Use an addition or subtraction formula to write the expression as a trigonometric... (answered by stanbon)

Sketch a right triangle corresponding to the trigonometric function of the acute angle... (answered by solver91311)

I could use a little help with this math question for my ACT prep worksheets I've been... (answered by lwsshak3)

Hello, I am in a college Physics course and I am stuck can you please help me, here is... (answered by jamaalprof)

in a right angle find side a if m angle A = 60 degrees and side b = 66 inches. use the... (answered by josgarithmetic)

Find an acute angle θ that satisfies the equation sin θ= cos(2 θ+ 30�) (answered by stanbon)