Step-by-step explanation:
You can use the identity
cos(x)² +sin(x)² = 1
to find sin(x) from cos(x) or vice versa.
(1/4)² +sin(x)² = 1
sin(x)² = 1 - 1/16
sin(x) = ±(√15)/4
Then the tangent can be computed as the ratio of sine to cosine.
tan(x) = sin(x)/cos(x) = (±(√15)/4)/(1/4)
tan(x) = ±√15
There are two possible answers.
In the first quadrant:
sin(x) = (√15)/4
tan(x) = √15
In the fourth quadrant:
sin(x) = -(√15)/4
tan(x) = -√15
Assuming BOD and AOC are straight lines.
Area of the rectangle = 4 x ΔAOD
Area of the rectangle = 4 x 10
Area of the rectangle = 40 unit²
Area of ΔABC = 1/2 x 40
Area of ΔABC = 20 unit²
Option 2: 
is the correct answer
Step-by-step explanation:
Given fraction is:
In order to simplify, we can see that the function is already in compact form
So,
We can simplify the given fraction.
We can see that the numerator can be further simplified
Hence,
Option 2: is the correct answer
Keywords: Polynomials, expressions
Learn more about polynomials at:
#LearnwithBrainly
Answer:
86.079
Step-by-step explanation:
40.99*2.1
