Bear in mind that, when it comes to trigonometric functions, the location of the exponent can be a bit misleading, however recall that sin²(θ) is really [ sin( θ )]²,
![\bf 2sin^2(2x)=2\implies sin^2(2x)=\cfrac{2}{2} \\\\\\ sin^2(2x)=1\implies [sin(2x)]^2=1\implies sin(2x)=\pm\sqrt{1} \\\\\\ sin(2x)=\pm 1\implies sin^{-1}[sin(2x)]=sin^{-1}(\pm 1)](https://tex.z-dn.net/?f=%5Cbf%202sin%5E2%282x%29%3D2%5Cimplies%20sin%5E2%282x%29%3D%5Ccfrac%7B2%7D%7B2%7D%0A%5C%5C%5C%5C%5C%5C%0Asin%5E2%282x%29%3D1%5Cimplies%20%5Bsin%282x%29%5D%5E2%3D1%5Cimplies%20sin%282x%29%3D%5Cpm%5Csqrt%7B1%7D%0A%5C%5C%5C%5C%5C%5C%0Asin%282x%29%3D%5Cpm%201%5Cimplies%20sin%5E%7B-1%7D%5Bsin%282x%29%5D%3Dsin%5E%7B-1%7D%28%5Cpm%201%29)
6.92 as a mixed number in simplest form
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Given
Let the three sides be represented with A, B, C
Let the angles be represented with
[See Attachment for Triangle]
What the question is to calculate the third length (Side B) and the other 2 angles ()
Solving for Side B;
When two angles of a triangle are known, the third side is calculated as thus;
Substitute: ,
;
Take Square root of both sides
<em>(Approximated)</em>
Calculating Angle
Substitute: ,
;
Subtract 180 from both sides
Divide both sides by -144
Take arccos of both sides
<em>(Approximated)</em>
Calculating
Sum of angles in a triangle = 180
Hence;
Make the subject of formula
