If csc(x) = 8, for 90° < x < 180°, then sin con (5) COS 2

Q: If sin' 0+y cos e sin e cos e and x sin e = y cos 6, prove that x + y* = 1.

A: Solution

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A: The parametric equations are given as, The the corresponding derivatives are calculated as,

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Q: If j(x) = e(sin(x)+cos(x))² , then j'(x) = 2 cos(2x)el+sin(2«) COS

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: 5. " cos (w) sin* (;w) dw -2n

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 15 cos(x) + 4 sec (x)dx

A: 1) I=∫15 cosx+4 sec2xdx =15∫cosx dx+4∫sec2x dx =15 sinx+4 tanx+c   (c- constant if integration)

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A: The Maclaurin series of cos x can be defined as: cos x=1-x22+x424-x6720+…. The inequality: y&lt;k is…

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Q: 3. Find y' for y = cos(sin² x)

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: • If y = cos x2 + x² then y(4) = 8x? sin x² + 0 TO F

A: Topic- Derivative

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A: we know the following identities   ∫cos(x)=sinx

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A: We have to solve

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Q: Find y' , for y=Sin-1(Cos√x)+Cos-1(Sin√x)

A: The solution for the above question is as shown below.

Q: satisfied

A: We will solve the problem.

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A: Given: y=sin-1x if x = 12, then  y=sin-112

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Q: If csc(x) = 3, for 90° < x < 180°, then sin() V2 1 V6 2 COS 2 V3+2v2 V6 V 2 - 1 tan 2 V 3 + 2v2

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A: Follow the procedure given below.

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Q: Cos x [SND] If y = tan x+ seç show that, y = (1 – sin æ)?

A: Topic  =trigonometry

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Q: Find the solution of the equation = e Cos y which tends to zero as x → 0o and has the value cos y…

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Q: Find ∫sin 5x cos 4x dx.

A: Given, ∫sin5x.cos4xdx

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.