Let r = 2sin(3*theta). a. Find the equations of the tangent and normal lines for the given value of that. 1. theta = pi/2

Q: R.1. Identify the amplitude and period. y = 2cos 4x

A: Given: The trigonometric function y=2cos4x, To determine: The amplitude and period of the function.

Q: Find sin theta and tan theta if the terminal side of theta lies along the line y= 3x

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Q: S. 3 Estimate tan x dx using the midpoints of 6 rectangles.

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Q: 3. If y = 4cos x + sin 2x, what is the slope of the curve when x = 2 radians? A.-2.21 B.-4.94…

A:

Q: 6. Which of the following properties do the sine and cosine functions have in common? a. domain b.…

A: As we know that sin(x)=cosπ2-x=cosx-π2 Hence we can say that if we shift cosine function by π2 unit…

Q: Find sin θ and tan θ if the terminal side of θ lies along the line  y = −8x in QII.   sin θ =…

A: Let us take the point (-1,8) on the line y=-8x and in QII.

Q: Let P(0) be the terminal point of 0 on the unit circle. What is its x-coordinate if y = b – 1?

A: P(θ) be the terminal point of θ on the unit circle.

Q: Encuentre la ecuación de la recta tangente (y = mx + b) a la curva en el x = cos t + cos 2t, y = sen…

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Q: 1. If tan⁡θ=3/4 and θ is in QIII, what is csc ⁡θ? 2.  3.

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Q: Q) find differential equation of the following equation (1 + x²) dy + (y - tan-¹(x))dx = 0

A: On solving this we will get

Q: If y=4 cosx + sin 2x, what is the slope of the curve when x=2 radians? * O - 2.21 - 4.94 O - 3.25 O…

A: -4.94

Q: 5 16 15

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Q: Differentiate. y = 10 tanπ θ

A: Given:y=10tan πθ

Q: A. Graph 2sin(3θ) using a table of values b. Find the tangent line to the curve 2sin(3θ) at point…

A: