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Problem 6. A) Express the function $x = (-3\ m) \cos\left(\frac{10}{s}t\right) + (4\ m)\sin\left(\frac{10}{s}t\right)$ in sine form. Hint You can proceed as in Example 6 but use the relation $\sin(\theta_1 + \theta_2) = \sin(\theta_1)\cos(\theta_2) + \cos(\theta_1)\sin(\theta_2)$ or you can proceed as in Example 6 to find the cosine form and then convert to sine form using the $\pi/2$ phase shift. B) Express the function $x = (-3\ m)\cos\left(\frac{10}{s}t\right) + (4\ m)\sin\left(\frac{10}{s}t\right)$ in cosine form.

          Problem 6.
A) Express the function $x = (-3\ m) \cos\left(\frac{10}{s}t\right) + (4\ m)\sin\left(\frac{10}{s}t\right)$ in sine form. Hint You can proceed as in Example 6
but use the relation $\sin(\theta_1 + \theta_2) = \sin(\theta_1)\cos(\theta_2) + \cos(\theta_1)\sin(\theta_2)$ or you can proceed as in Example 6 to find the
cosine form and then convert to sine form using the $\pi/2$ phase shift.
B) Express the function $x = (-3\ m)\cos\left(\frac{10}{s}t\right) + (4\ m)\sin\left(\frac{10}{s}t\right)$ in cosine form.

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Problem 6.
A) Express the function x = (-3 m) cos((10)/(s)t) + (4 m)sin((10)/(s)t) in sine form. Hint You can proceed as in Example 6
but use the relation sin(θ1 + θ2) = sin(θ1)cos(θ2) + cos(θ1)sin(θ2) or you can proceed as in Example 6 to find the
cosine form and then convert to sine form using the π/2 phase shift.
B) Express the function x = (-3 m)cos((10)/(s)t) + (4 m)sin((10)/(s)t) in cosine form.

Added by Trinidad P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Breanna Ollech

02/19/2024

Step 1

Step 1: We can use the angle addition formula for sine to express the given function in sine form. Show more…

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Problem 6. A) Express the function $x = (-3 \text{ m}) \cos \left( \frac{10}{s} t \right) + (4 \text{ m}) \sin \left( \frac{10}{s} t \right)$ in sine form. Hint You can proceed as in Example 6 but use the relation $\sin(\theta_1 + \theta_2) = \sin(\theta_1) \cos(\theta_2) + \cos(\theta_1) \sin(\theta_2)$ or you can proceed as in Example 6 to find the cosine form and then convert to sine form using the $\pi/2$ phase shift. B) Express the function $x = (-3 \text{ m}) \cos \left( \frac{10}{s} t \right) + (4 \text{ m}) \sin \left( \frac{10}{s} t \right)$ in cosine form.

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