Suppose θ(t) measures the minimum angle between a clock’s minute and hour hands in radians. What is θ′(t) at 10 o’clock? Give your answer in radians per minute. (Use symbolic notation and fractions where needed.)

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A: Given that y=tanxA. y=tanxdy=sec2xdxdydx=sec2x△y=dydx△x△y=sec2x△x△y=sec260°×1°△y=4×1°=4°

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A: To verifysin(α-β)cosαcosβ=tanαtanβ

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A: First we need to find the trigonometric expression of tan y. From the data given y=cos-1(x) If y =…

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Q: a) What is the fundamental period the function f(t) = sin 3t ?

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

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A: Value of tan(π/4) is 1

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A: For cos function divide two pi by multiple of theta

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A: We will use the trigonometric identity:  cos(A-B)=cosAcosB+sinAsinB

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A: Given: ∫0π2sinxcos4xdx

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A: we use Trigonometry ratios

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Q: Given x sin4t, y = -cos4t, then find at t =.

A: x=sin4t   ,y=-cos4t