Use the related acute angle to state an equivalent expression:
a) tan 110 degrees
b)sin 350 degrees
a) tan 110 degrees = tan 110-180=
tan-70
b)sin 350 degrees = sin 350-360
= sin-10 degrees
The more standard practise is to state the equivalent angle in terms of a positive acute angle.
So ...
tan 110° = -tan 70°
sin 350° = -sin 10°
The back of the book says 290 for tan110 . How is it 290 and why??.also whats equivalent to sin350 ???
ur bad
To find the related acute angle for a given angle, we need to subtract 180 degrees (or 360 degrees if it is larger than 360) from the given angle until we get an angle between 0 and 90 degrees.
a) To find the equivalent expression for tan 110 degrees:
We subtract 180 degrees from 110 degrees:
110 - 180 = -70 degrees
Since -70 degrees is negative, we need to add 360 degrees to make it positive and within the range of 0 to 90 degrees:
-70 + 360 = 290 degrees
The related acute angle for 110 degrees is 290 degrees.
Therefore, the equivalent expression for tan 110 degrees is tan 290 degrees.
b) To find the equivalent expression for sin 350 degrees:
We subtract 360 degrees from 350 degrees:
350 - 360 = -10 degrees
Since -10 degrees is negative, we need to add 360 degrees to make it positive and within the range of 0 to 90 degrees:
-10 + 360 = 350 degrees
The related acute angle for 350 degrees is 10 degrees.
Therefore, the equivalent expression for sin 350 degrees is sin 10 degrees.