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baherus [9]
3 years ago
5

(Photo attached) Trig question. Please explain and thanks in advance! :)

Mathematics
1 answer:
nirvana33 [79]3 years ago
6 0

Answer:

  0.2036

Step-by-step explanation:

u = arcsin(0.391) ≈ 23.016737°

tan(u/2) = tan(11.508368°)

tan(u/2) ≈ 0.2036

__

You can also use the trig identity ...

  tan(α/2) = sin(α)/(1+cos(α))

and you can find cos(u) as cos(arcsin(0.391)) ≈ 0.920391

or using the trig identity ...

  cos(α) = √(1 -sin²(α)) = √(1 -.152881) = √.847119

Then ...

  tan(u/2) = 0.391/(1 +√0.847119)

  tan(u/2) ≈ 0.2036

__

<em>Comment on the solution</em>

These problems are probably intended to have you think about and use the trig half-angle and double-angle formulas. Since you need a calculator anyway for the roots and the division, it makes a certain amount of sense to use it for inverse trig functions. Finding the angle and the appropriate function of it is a lot easier than messing with trig identities, IMO.

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Answer:

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nadya68 [22]

Answer:

Below.

Step-by-step explanation:

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Now find the corresponding y values by substitution in the equation:

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3 years ago
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Answer:

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3 years ago
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