SOLUTION: Use the sum or difference identities to find the exact value of the trigonometric function. sin(735 degrees)

Algebra.Com
Question 1032964: Use the sum or difference identities to find the exact value of the trigonometric function.
sin(735 degrees)
Found 3 solutions by Alan3354, ikleyn, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Use the sum or difference identities to find the exact value of the trigonometric function.
sin(735 degrees)
------------
= sin(15) degrees
---------
Look up half angle formulas on Wikipedia.
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
Use the sum or difference identities to find the exact value of the trigonometric function.
sin(735 degrees)
~~~~~~~~~~~~~~~~~~~~~~~~ 

sin(735°) = sin(720° + 15°) = sin(15°),   since sine is periodical function with the period of 360°.

sin(15°) =  =   (formula of half argument for sine, see the lesson  Trigonometric functions of half argument  in this site)

=  =  = .


See also the lesson  Trigonometric functions of half argument - Examples,  Example 2.


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Use the sum or difference identities to find the exact value of the trigonometric function.
sin(735 degrees)
One of the terminal angles of  is 735 - 2(360), or 735 - 720 = 

Difference of two angles' identity associated with  is: 







 

RELATED QUESTIONS


Use the sum or difference identities to find the exact value of sin 105... (answered by Alan3354)

Use the sum or difference identities to find the exact value of sin -165... (answered by lwsshak3)

Use the sum or difference identities to find the exact value of the trigonometric... (answered by Alan3354,ikleyn)

Use sum or difference identities to find the exact value of each trigonometric function.
 (answered by stanbon)

Use sum of difference identities to find the exact value of... (answered by robertb)

Use sum and difference identities to find the exact value of sin 15 degrees (two angles... (answered by Alan3354,ikleyn,MathTherapy)

Use sum and difference identities to find the exact value of cos 15 degrees given 45... (answered by Alan3354)

How to use Sum Difference identities to fin the exact value: 

Cos 53 degrees cos 82... (answered by robertb)

If cos theta = - 4/5 and 180degree < theta < 270degree, use trigonometric identities to... (answered by lwsshak3)