we use the angle- sum and difference trigonometric identity to simplify the expression sin(3pi - x). This is equal to sin 3 pi cos x - cos 3 pi sin x. In this case, sin 3 pi is equal to zero while cos 3 pi is equal to -1. Hence the answer simplified is equal to sin x .
The representation of √14 on number line is shown below.
<h3>What is Number line?</h3>
A visual representation of numbers on a straight line is known as a number line. A number line's numerals are arranged in a sequential manner at equal intervals along its length. It is typically represented horizontally and can extend indefinitely in any direction.
On a number line, the numbers rise as you move from left to right and fall as you move backwards from right to left.
Given:
For drawing number line of root number we will use spiral method.
So, Using Pythagoras theorem
H² = P² + B²
H² = (√13)² + 1²
H² = 14
H = √14
So, we will take Perpendicular 1 unit and base of √13 unit.
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Answer:
Lin has not proven that the probability is not 1/2 because there are only two possible outcomes when flipping a coin and each side has a 50% chance of facing up. Liz flipping the coin 10 times and not getting equal results for both sides is just a random occurrence and it does not effect the 50% chance.
Use cosine rule:-
b^2 = 41^2 + 20^2 - 2*20*41*cos 36
= 754.21
b = 27.5
you can now find angle A using the sine rule
27.5 / sin 36 = 41 / sin A
sin A = 0.87633
< A = 61.2 degrees