Find at the point (5, -1,5) where z is defined implicitly by the equation y°z + x cos z = z sin x.

Q: Differentiate y = sin (x 2)

A:

Q: S2 cos (w - Sec W tan (w) dw

A:

Q: How would this parametric function of x=2cost +cos2t; y=2sint-sin2t be solved

A: In order to solve a parametric equation, firstly differentiate x and y with respect to t and then…

Q: es of the five quarter points of y=sinx to determine the corresponding quarter points on the graph…

A: Introduction:

Q: Which interval contains a solution to the equation cos(6x)=x³+3 ?

A:

Q: 9) For the transformed function y = 4 cos[3(x - 20°)] + 5 state the amplitude, the period, the phase…

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Q: If x=37° and y=44° calculate the value of sin²x + 2cosy

A: Given,                                              sin²x + 2cosy…

Q: Find cos(u+v) sinu= -4/5 with 3pi/2 <u<2pi and cosv= -5/13 with pi/2 <v<pi

A: u is in the fourth quadrant. There cos will be positive.

Q: 9. (9x + 25) (13x-19)/(17y + 5)',

A: label the points as: A,B,C,D,E,F,G and H.

Q: Given the equation y = 5 sin(3x + 18) + 2

A: we need to find out the horizontal shift.

Q: If r = sec(0), then dr = 1² - 1

A: Given information: x=secθ The derivative of the given information, dx=secθtanθdθ

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.