write and that is equivalent to each of the following expression,using the related acute angle
a) sin 13pi/6 b) cos 11pi/8
c) tan 7pi/4
done, see later post
To find the equivalent expressions using the related acute angles for each trigonometric function, we need to use the reference angles associated with those angles.
a) sin (13π/6):
Step 1: Identify the related acute angle:
The angle 13π/6 is greater than π so we need to subtract π from it to find the related acute angle.
13π/6 - π = π/6
Step 2: Write the equivalent expression using the related acute angle:
sin (13π/6) is equivalent to sin (π/6).
b) cos (11π/8):
Step 1: Identify the related acute angle:
The angle 11π/8 is greater than π so we need to subtract π from it to find the related acute angle.
11π/8 - π = 3π/8
Step 2: Write the equivalent expression using the related acute angle:
cos (11π/8) is equivalent to cos (3π/8).
c) tan (7π/4):
Step 1: Identify the related acute angle:
The angle 7π/4 is greater than π so we need to subtract π from it to find the related acute angle.
7π/4 - π = 3π/4
Step 2: Write the equivalent expression using the related acute angle:
tan (7π/4) is equivalent to tan (3π/4).
In summary, the equivalent expressions using the related acute angle for each trigonometric function are:
a) sin (13π/6) is equivalent to sin (π/6)
b) cos (11π/8) is equivalent to cos (3π/8)
c) tan (7π/4) is equivalent to tan (3π/4).