Use a reference angle to write sin(35pi/36) in terms of the sine of a positive acute angle

The positive acute angle is and this can be determined by simplifying the given trigonometric function with the help of trigonometric properties.

Given :

Expression --  

The following steps can be used to evaluate the given trigonometric function:

Step 1 - Write the given trigonometric function.

Step 2 - Rewrite the above trigonometric function.

Step 3 - Simplify the above expression.

Step 4 - Use the trigonometric properties.

sin (180 - ) = sin

Step 5 - Apply the above property in the expression (1).

So, the positive acute angle is .

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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

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step-by-step explanation: