Write the trigonometric expression as an algebraic expression in u. cos (sin-1 u)

1 answer:

3 0

Cos(arcsin(u)) = √(1 - u²)

_____
You want cos(α) where sin(α) = u.
You know that
cos(α)² + sin(α)² = 1
cos(α)² = 1 - sin(α)² = 1 - u²
cos(α) = √(1 - u²)

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aivan3 [116]

Answer:

Han= 24 minutes

His sister= 24 minutes

His Dad= 36 minutes

Grandmother= 42 minutes

Step-by-step explanation:

Please see attached picture for full solution.

Where the working split, see the right hand side.

The question states that Han's Dad sits 1.5 times as long as both Han and his sister. There could be 2 interpretations for this:

- Dad sits for 1.5 times of (Han and his sister)

- Dad sits for 1.5 times of Han and 1.5 times of Han's sister

I've done the working for both scenarios and found out that the 1st case cannot be true since Dad would've sat for 50.4 minutes when the bus ride is only 42 minutes! Moreover, there wouldn't be enough information to know how long Han and his sister sat for.

The second case is possible and it's working is on the right.

Feel free to ask if you have any enquiries :)

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Letters

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