Answer:
Step-by-step explanation:
hello :
note : for all x in ℝ : sin( π - x) = sinx
35π/36 = (36π - π)/36 = 36π /36 - π/36
35π/36 = π - π/36
use the note : sins(35π/36) =sin( π - π/36 ) = sin(π/36)
positive acute angle is : π/36
The positive acute angle is [tex]\pi/36[/tex] and this can be determined by simplifying the given trigonometric function with the help of trigonometric properties.
Given :
Expression -- [tex]\rm sin(\frac{35\pi}{36})[/tex]
The following steps can be used to evaluate the given trigonometric function:
Step 1 - Write the given trigonometric function.
[tex]= \rm sin(\frac{35\pi}{36})[/tex]
Step 2 - Rewrite the above trigonometric function.
[tex]= \rm sin(\frac{36\pi-\pi}{36})[/tex]
Step 3 - Simplify the above expression.
[tex]= \rm sin(\pi-(\frac{\pi}{36}))[/tex]
Step 4 - Use the trigonometric properties.
sin (180 - [tex]\theta[/tex]) = sin[tex]\theta[/tex]
Step 5 - Apply the above property in the expression (1).
[tex]= \rm sin(\frac{\pi}{36})[/tex]
So, the positive acute angle is [tex]\pi/36[/tex].
For more information, refer to the link given below:
https://brainly.com/question/13743882
