sin(증+ ) sin(증-지) + sin = COS X We begin on the left side of the equation by using Sum and Difference Formulas. We can then combine like terms, fi exact values, and simplify. sin + *) + sin( - x) - ((an| sin x) + (sin Cos x + cos COS X - COS sin = = 2( sin COS X = 2 COS X = COS X

Q: Verify the identity. (Simplify at each step.) sin1/2 x cos x - sin5/2 x cos x = cos³ x/ sin x sin /2…

A:

Q: cos( - x) = O sin( - x) O cos( + x) cos( - x) sin( + x)

A: The given expression is: cos π3-x Note that: cos θ=sin π2-θ

Q: cos(sin^-1(1/3))

A:

Q: sin(-x) + cos (-x) csc(x)

A:

Q: 3(cos a- 1) sin x cos – sin x O 3 cotx+3 csc x O 3 tanx+3 csc x O 3 tan x +3 sec x O 3 cot x +3 sec…

A: Here we have to find the value of    3(cos2x -1)/(sin x cos x - sin x)

Q: sec(-0) cose 1-cos²0 csc20 CS

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Q: ∫sin8 (3?) cos5 (3?)??

A: Find the what later to come on the symbols

Q: 2 -3 sin 0 = -2+ sin 0

A: Solution:-

Q: Verify the identity.

A: Use the trigonometric identities sinA+sinB=2sinA+B2cosA-B2 and cosA+cosB=2cosA+B2cosA-B2 to simplify…

Q: sin^4x - cos^4x/sin^2x - cosx =1. prove the identity.

A:

Q: sin 5x + sin 3x 2 cOS X 4 sin x cos 4 sin x cos x 3 X COS -

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Q: sin 20 If x = 3 sin 0, write the expression in terms of just x. 6. 9-x2 sin 3 a. 6. - -1 b. sin 3x+…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: sin 0 1- cos 0 = 2 csc 0 1 cos 0 ite the left side of the expression with sin 0(1- cos ) EGO

A: We can establish the identity as asked in the question as below

Q: tan x 4. Simplify the expression tan x+cot x O sin æ sin x O cos? a COS COs x

A:

Q: sin (3x) + cos (3x) cos(x) – =1+4sin(x)cos(x)

A: We use sin(3x)= 3sinx-4sin3x and cos (3x)= 4cos3x-3cosx .

Q: (sin-'(cos(2x) + cos-'(sin(2x).

A: Given : ddxsin-1cos2x+cos-1sin2x

Q: Prove the identity sin) sin = COS X + x _ We begin on the left side of the equation by using Sum and…

A: We are going to prove:

Q: 2sin θ+sin2 θ=0 Solve

A: We know that  Sin2theta= 2 sintheta costheta  Put the value in the given equation And then find the…

Q: sine+sin20 18. Show that = tan 0 1+cose+cos28 Find the general solution of the equation sin4x- cos2x…

A: For Part (i) sin2θ=2sinθ·cosθcos2θ=cos2θ-sin2θ=cos2θ-(1-cos2θ)=2cos2θ-1 For Part (ii)…

Q: sin 280 cos 160 - cos 280 sin 160. Express the following as a function of a single angle.

A: Here we have to exprees the function in a single angle.

Q: cos(-x) 1– sin(-x) 4 x It sin x COS x 4 8 csc x 8 sec x -8 csc x -8 sec x

A: Use trignometric ratio and identities:-

Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

A: Given: To verify: The given identity.

Q: L10Q20. Simplify: (sin x - 2 sin3x)/(2 cos3x – cos x) A.so x B.cot x

A:

Q: sin (-0) cos² (-0) Establish the identity: cos 0 sin 0 sin (-0) - cos (-ø)

A: Given: sin2-θ-cos2-θsin-θ-cos-θ=cosθ-sinθ

Q: Verify the identity. (Simplify at each step.) 5 cos2 β − 5 sin2 β = 5 − 10 sin2 β

A: As cos2β+sin2β=1 cos2β=1-sin2β The given Left-Hand Side function is

Q: expressions in terms of exponen - In(coshx + sinhx) + In(cosh 2- cosh5x + sinh5x

A: Rewrite the following expressions in terms of exponentials, write the final result as simply as you…

Q: Verify the identity. (Simplify at each step.) sin5/2 x cos x - sin9/2 x cos x = cos³ xV sin5 x sin²…

A: Trigonometry explains the relationship between angles and sides of a triangle. Use the formula:…

Q: cos(180°+ x). tan(360°-x).sin² (90°- x) 2. + sin x 5.1 Determine the value of sin(180° -x)

A:

Q: single trigonometric 2. Simplify sin (3x) cos (4x) + sin (4x) cos (3.x). Express your answer as a…

A: To simplify sin3x cos4x+sin4x cos3x. To express the answer as a single trigonometric function.

Q: 6. (a) Express cos (2 tan- ) (b) Express sin (2 cosx) as an algebraic expression in x. (c) Express…

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Q: Prove the identity. sin x-1 1+ sin x 1+ sinx =4 tan x sec x sin x-1 To verify the identity, work…

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Q: sin2 x cos2 4. sin x- cos4 x X - - 1 4

A: To prove that the left-hand side is equals to the right-hand side.

Q: sin-'x - cos-1x = " Find the value of x

A: Given that sin-1 (x)-cos-1 (x)=π6, Our Aim is to find the value of x=?

Q: Rewrite sin(x+π/6) in terms of sin x and cos x.   Enclose arguments of functions in parentheses.…

A: We know that        sin A+B =sin A cos B+cosA sin B           sin x+π6 =?         A=x…

Q: cos² 2. Simplify the expression sin² -1 2-1 O-sec² x O-tan² x O tan² x O sec² x

A:

Q: 2 sin(0): 3 Evaluate: csc(-0) = ||

A: sin(θ)=23 To find, csc(-θ)

Q: - sin( - a) + sin-x 元 Simplify sin sin(21- x) 지+ 2

A: Given: sinπ2−x+sin(π−x)+sin3π2−x+sin(2π−x)

Q: tan x= -4 and sin x is negative

A: Here tanx=-4we know trigonometric identity,sec2x=1+tan2xsec x=±1+tan2xsec x=±1+(-4)2sec…

Q: Verify the identity. (Simplify at each step.) cos³ x sin4 x = (sin4 x — sin6 x)cos x cos³ x sin4 x =…

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Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

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A:

Q: 1. cos(π+x) sec(-x) tan(-x) sec(27+x) sin(7+x) cot(-x) Simplify the expression- simplify every…

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Q: sin0 - sece 8) cos0- csce 9) tan? 0 - cot? 0 1+ sine 1-sine 10) 1- sine 1+sin0 1 1 11) 1- sine 1+…

A: Question Number 8 Given expression sin θ - sec θcos θ - csc θ

Q: Rewrite sin(x+5π/6) in terms of sin x and cos x.   Enclose arguments of functions in parentheses.…

A: We have rewrite sin (x+5 pi/6) in terms of sin x and cos x

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A: Given: ∫sin-5zcos6zdz

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Q: Verify the identity. (Simplify at each step.) (1 + cos α)(1 − cos α) = sin2 α   (1 + cos α)(1 − cos…

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Q: Prove the identity sin(90°x) + sin(90° - x) = 2 cos x We begin on the left side of the equation by…

A: Given,

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.