Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Which equation can be used to find the measure of
angle BAC?
tan-1_5
-X
12
1
= x
O ) =
O tan-( 13 ) =>
O cos-1( 13 ) = x
-1 ( 132 ) = x
12
=
O cos-1

Sagot :

Answer:

our answer will be in quadrant 1 only.

Step-by-step explanation:

From the

cos−1(1) we have the side adjacent to ∠θ=1 and the side hypotenuse=2 . So this is a 30∘−60∘−90∘ triangle and θ=60∘therefore the opposite to ∠θ=√3.

Note that from the restrictions for the range of inverse circular functions cos−1x is restricted to quadrants 1 and 2 and since the argument is positive 12 our answer will be in quadrant 1 only.

The equation that can be used to find the measure of angle BAC is [tex]A = \tan^{-1}(\frac{12}5)[/tex]

To find the measure of angle BAC, we make use of the following tangent ratio

[tex]\tan(A) = \frac{12}5[/tex]

Next, we take the arc tan of both sides

[tex]\tan^{-1}(\tan(A)) = \tan^{-1}(\frac{12}5)[/tex]

So, we have:

[tex]A = \tan^{-1}(\frac{12}5)[/tex]

Hence, the equation that can be used to find the measure of angle BAC is [tex]A = \tan^{-1}(\frac{12}5)[/tex]

Read more about tangent ratios at:

https://brainly.com/question/14169279