Answer:
- sin(2x) = -4/5
- cos(2x) = 3/5
- tan(2x) = -4/3
Step-by-step explanation:
It may be easiest to start with tan(2x).
tan(2x) = 2tan(x)/(1 -tan(x)²)
tan(2x) = 2(-1/2)/(1 -(-1/2)²) = -1/(3/4)
tan(2x) = -4/3 . . . . . still a 4th-quadrant angle
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Then cosine can be found from ...
cos(2x) = 1/√(tan(2x)² +1) = 1/√((-4/3)²+1) = √(9/25)
cos(2x) = 3/5
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Sine can be found from these two:
sin(2x) = cos(2x)tan(2x) = (3/5)(-4/3)
sin(2x) = -4/5
Answer:
0.33=33/100
<h2>Hope this helps!!!!!</h2>
The value of
in the given triangle ABC is
. Option D is correct.
<h3>What are the trigonometric ratios?</h3>
Trigonometric ratios are the ratio of sides of a right angled triangle. There are 6 types of trigonometric ratios: sin, cos, tan, cosec, sec, and cot.
Sine trigonometric ratio is the ratio of perpendicular (side opposite to the angle) to the hypotenuse.
In the given figure, the side opposite to the angle
is AC = 4 and the hypotenuse is AB = 5.
So, the sine ratio will be equal to,

Therefore, the value of
in the given triangle ABC is
. Option D is correct.
Learn more about trigonometric ratios here:
brainly.com/question/1201366
#SPJ1
Answer:
True.
Step-by-step explanation:
The distributive property of real numbers says
a(b + c) = ab + ac. Here, the number outside multiplies the numbers only in the parentheses. Therefore the statement is true. The number located outside can be applied to only numbers in parentheses.
The answer for this would be 4 times 11 that would equal 44.