Saturday

December 20, 2014

December 20, 2014

Posted by **HELP!!!!** on Tuesday, April 2, 2013 at 5:35am.

Therefore, to find

y = sin−1(−3/22, we must find an angle y whose sine is -3/2.

There are many possible angles with this sine, but the range of

y = sin−1 x

is restricted to [ , ] and so y must be in this interval.

- Math -
**Reiny**, Tuesday, April 2, 2013 at 8:40amI will assume you have a typo and you meant to say

" we must find an angle y whose sine is -3/22 "

since sin y = -3/2 is not possible.

I see this question summarized to ...

find Ø if sin Ø = -3/22 , -π/2 ≤ Ø ≤ π/2

so Ø is in III or IV

but within the restriction given, Ø can only be in IV

set your calculator to radians and find

A if sinA = +3/22

A = .1368

then Ø = 0 - .1368 = -.1368

using your notation:

y = -.1368

check:

sin^-1 (-.1368) = -.13637

and -3/22 = -.13636 , not bad

**Answer this Question**

**Related Questions**

Trigonometry - IM STUCK ON THESE :( 1. What is the equation for shifting the ...

Trigonometry - IM STUCK ON THESE :( 1. What is the equation for shifting the ...

Precalculus - Use one of the identities cos(t + 2πk) = cos t or sin(t + 2&#...

math - x = t − 2 sin t, y = 1 − 2 cos t, 0 ≤ t ≤ 6π...

Math: Pre Cal - f(x) = {−8 if −3 ≤ x ≤ 0 {x if 0 < x...

Math - f(x) = {−8 if −3 ≤ x ≤ 0 {x if 0 < x ≤ 3...

Calculus - Determine the points of inflection of the function. f(x) = x + sin x...

Calculus please help - Determine the points of inflection of the function. f(x...

math - Consider the following 6 relations on the set of real numbers: A) y=2x&#...

Trig - 4. Asked to simplify the expression sin(180−è), Rory volunteered ...