Write 5 sinx – 12cosx in the form ksin(x + a).

Q: Rewrite cos(x) in two different ways to make two unique expressions.

A: To rewrite cosx in two different ways to make two unique expressions.

Q: Evaluate √x/2 6sinx(cosx+1) do

A:

Q: Evaluate the ff Sinx d /sinx+ casx

A:

Q: Use the identities to find cscx and cotx if secx=7 and sinx

A:

Q: Write the sum as a product. sin3x + sin4x

A:

Q: Sin13 T

A:

Q: Write cos (arcsin (4u)) as an algebraic expression of u, given u>0. Do not rationalize the…

A: Given expression is cosarcsin4u

Q: 7. (sinx + cosx)²

A: (sinx+cosx)2 We know that ,(a+b)2=a2+2ab+b2Therefore (sinx+cosx)2=sin2x+2sinx.cosx+cos2xBut…

Q: Evaluate using substitution.

A: Evaluate the value of limit using substitution. Substitute the value for x and find out the limit.…

Q: Rewrite sin(x+11π6) in terms of sinx and cosx.

A:

Q: Evaluate sin (2r)dr

A: From formula Sin 3x = 3 Sin x - 4 Sin3 x - 4 Sin3 x = Sin 3x - 3 Sin x multiplying - both side 4…

Q: Simplify cos2(15)-sin2(15)

A:

Q: sinx 3. EVALUATE 10 cosxdx

A:

Q: Use the power reduction formulas to rewrite the expression, sin2(6x)

A: Given query is to rewrite the expression.

Q: ( = Sinx. Cosxan-con xdz Cosxdx %3D

A:

Q: Evaluate V1 – sin 4xdx

A: Solve the given integral

Q: Use even-odd identities to find the value. If sec(-a) =-1.21, find csc a -

A:

Q: Write the expression sin (cos-1 x) as an equivalent algebraicexpression in x only.

A:

Q: Rewrite sin (x+11π/6) in terms of sinx and cosx.

A: We have to rewrite the given expression in terms of sinx and cosx: sinx+11π6 Here,…

Q: Rewrite sin(tan-1u) as an algebraic expression in u.

A:

Q: Perform the multiplication and use the fundamental identities to simplify. Show all work on a…

A: Formula used  (a - b)² = a² + b² - 2ab sin²x + cos²x = 1 sin2x = 2sinxcosx

Q: Use the cofunction identities to evaluate the expression with

A:

Q: (2sin x) -1 Cos

A: cos(2 sin-1x) Let sin-1x=u Taking sin  function on both sides x=sin u

Q: rcan > ə t sin )-8 2.

A: Given:

Q: Simplify + cosx-1 cosx+ 1

A: Given, Simplify 1cos x+1+1cos x-1

Q: sin A = .1234

A: we know that if, sinA=0.1234 then A=sin-10.1234

Q: Write the sum as a product. sin 5x + sin 6x

A:

Q: seë x doX 2 tan 2

A: The given integral can be estimated by substitution method. Let u = tan x. Then,

Q: Prove the identity. cosx-sinx/sinx cosx = cscx-secx

A: See below the answer and explanation

Q: Rewrite the product sin 5x sin 2x as a sum

A:

Q: Evaluate 6 cos ( 3x when x is 4

A: Given: 6 cos3x-π2 when x is π4

Q: Write the expression as an algebraic expression in x for x >0: sin (2 sinx)

A:

Q: Write the sum as a produc sin(5.2r) – sin(3.6r)

A: Givensin(5.2 r)-sin(3.6r)

Q: verify that -2cotx(csc^2x)= -csc^4x(sin(2x))

A: The proof is given in step-2.

Q: cos2 θ - cos2 θ is equivalent to?

A:

Q: Find all values of such that sin2x=sinx and 0<=x<=2pie

A: Given equation is Now, we use the identity sin2x=2sinxcosx,

Q: 4. tan²B + 1 = sec² B

A:

Q: Write cos 3x in terms of cosx

A: Given by cos 3x = cos (2x + x) Let us take A = 2x and B = x. Now, using the formula, cos(A + B) =…

Q: Use even-odd identities to find the value. If sec(-a) = -1.21, find csc a-

A:

Q: Use the power reduction formulas to rewrite the expression. sin (6x)

A: Here, we have to rewrite the given expression in simplest form. It means that eliminate the higher…

Q: Use the fundamental identities to fully simplify the expression : 1-sinx 1-sira +200s x 2-sinx None…

A:

Q: verify that the equation is an identity  sinx-cosx/sinx+cosx = 1-2sinxcosx/1-2cos^2x

A: The given equation of trigonometry  is

Q: Express the difference cos 9x - cos 7x as a product. If possible, find this product’s exact value.

A: To express the difference cos9x-cos7x as a product.

Q: COSX secx

A: We have been given the trigonometric equation                       cosxsecxsinx…

Q: tan(2t) +1 =0

A:

Q: Write as an algebraic expression in x: cos(tan- x)

A: As we know that: tan-1tany=y Given: costan-1x

Q: Complete the proof of the identity by choosing the Rule that justifies each step. cscx= tanx secx

A:

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: While proving trigonometric equations using the identities, we should see the function on the left…

Q: 16 sin8xdx Evaluate

A: Topic = Integration