the reduct Sinx cosx G

Q: cos -1

A: Given: cos-122=θ22=cos θ12=cos θθ=π4cos-122=π4

Q: Verify the identity. cos²t sint =csct- sint

A:

Q: Evaluate cos° Зх dx

A:

Q: Find sin o

A:

Q: cosxdx 3T +Sinx

A:

Q: 1+ sinx Evaluate:| xp- sinx (1+ cosx

A:

Q: 311 = Sinx %3D COS

A:

Q: Evaluate 7 cos6 x sin7 x dx

A:

Q: Find tano $+ SinØ

A:

Q: (A) Evaluate Sin (3x) Sin (3x) dx

A:

Q: Evaluate COs dx

A:

Q: Evaluate 13 sin(x) cos(x) dx

A:

Q: Prove this equation (cosx-sinx) ^2=1-2sinxcosx

A: Trigonometric formula

Q: Differentiate  (sin(x+a)/cosx)

A:

Q: Find L(sin3t cos3t)

A: We have to find L{sin3tcos3t}

Q: cotx Evaluate : co dx

A:

Q: $66)= Sinx+ Cos>x.

A:

Q: What transformation do you need to apply to change a sin function to a cos function?

A: Given: Transformation of sin function to cos function

Q: Find amplitude and period of function 1/3 cos pi x

A: function is 1/3cosπx here the standard form = AcosBx where A = amplitude period = 2π/B using this…

Q: Dhcx)=cos (x+)

A:

Q: It COSe + Sin@ TtCose Sin 6 Sine

A:

Q: 6. (sinx – cosx)(sinx + cosx)

A: Given (sinx-cosx)(sinx+cosx)We know that (a+b)(a-b)=a2-b2

Q: Find the value of § cot³(x) cosec“ (x).

A:

Q: Evaluate: / [cos(x) – sin(x)]dr

A: To find:∫cosx-sinxdx

Q: Find given - cosx sinz

A:

Q: Evaluate: " sin7 cos4 dx

A:

Q: Find phase shift sin ((1)/(4)x+(\pi )/(3))

A:

Q: Step by step show that cosx and sinx are even or odd?

A: A function ''f'' is said to be even if f(-x)=f(x)A function ''g'' is said to be odd if…

Q: Cos t csct

A: cos t csc t

Q: Evaluate sin (5x) dx.

A: We have to find the given integration. We will do this integration by using substitution.

Q: sinr 1. Show that

A:

Q: Find / |sin Z| ?

A:

Q: 2TL Sin 28 do

A: Integration: It is the technique of finding a function F(x), the derivative ofwhich, DF(x), is equal…

Q: Write cos* x as an expression in the first power of cosine

A: Given,                    cos4x=?

Q: Evaluate 1 cos²x 1 cot x -)dx sin x

A:

Q: Express the function below as a sum or difference of sine and cosine.    sin 4x cos 3x

A: Given: y=sin4xcos3x We know that 2sinAcosB=sinA+B+sinA-B                                         ..1

Q: g)Sinhy=tanx ind

A:

Q: Use trigonometric substitution to evaluate COs x dx

A: The given question is taken from the indefinite integral in which we have to find the value of the…

Q: Find the exact value. Show all work, including a sketch: cos(sin-1 (),

A: We have to find the exact value

Q: T/2) [cosx/(1+ sina

A: Here we have to calculate:-

Q: EVALUATE | cos (bx'/) dx

A:

Q: Detevimine the intergerls 지 ) 2+ Sinx

A: Renaming the given integral as  J=∫12+sinxdx To solve the integral we require the following formulas…

Q: Use the addition formulas to derive: cos (x -) = sinx

A: The given equation is cosx-π2=sinx

Q: SinX tcotメニ CSCX 1+ COSX

A:

Q: intergral of (theta)(cos(theta))(dtheta)

A: To evaluate , I = ∫θCosθ dθ

Q: verify the identity: (sinx + cosx)2 = 1 + 2sinxcosx

A:

Q: stion Three: If y = sin(x) – sin³ (x). show that y' = cos³(x).

A: We will differentiate the function and use the identity : 1 - sin²(x) = cos²(x)

Q: Evaluate cos (4x) dx.

A:

Q: Maclaurin expension for cos(lnx)

A: The given question as belonging to the calculus in which we have to find the Maclaurin expansion of…

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.