Answer:
5,2
Step-by-step explanation:
Answer:
The exact value of is
Step-by-step explanation:
We need to calculate the exact value of
Since,
Put in above
Since,
Therefore, the exact value of is
The exact value of tan(5π/12) is √(2/3).
The exact value of tan(5π/12) can be calculated using trigonometric identities and reference angles.
The angle 5π/12 is not a special angle with a known tangent value, so we need to work with its reference angle, which is π/12.
Using the identity tan(θ) = sin(θ) / cos(θ), we can express tan(π/12) as:
tan(π/12) = sin(π/12) / cos(π/12)
Now, let's find the exact values of sin(π/12) and cos(π/12) using half-angle and double-angle formulas:
sin(π/12) = sin(π/6) / 2^(1/2)
= 1 / 2^(1/2) / 2
= (2^(1/2)) / 4
= √2 / 4
cos(π/12) = cos(π/6) / 2^(1/2)
= 3^(1/2) / 2 / 2^(1/2)
= 3^(1/2) / 4√2
= (√3) / 4
Now, we can substitute these values back into the expression for tan(π/12):
tan(π/12) = sin(π/12) / cos(π/12)
= (√2 / 4) / (√3 / 4)
= (√2 / 4) * (4 / √3)
= √2 / √3
= √(2/3)
Therefore, the exact value of tan(5π/12) is √(2/3).
Learn more about trigonometric identities at brainly.com/question/25618616
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Answer:2.2
Step-by-step explanation:100.8-98.6=2.2