Express sin S as a fraction in simplest terms.

Q: Evaluate sin“ x dx

A: Half angle identities cos 2x=1-2sin2 xcos 2x=2 cos2 x-1

Q: Simplify sin(t)/sec(t)-cos(t) to a single trig function with no fraction.

A: To Simplify the given identity  to a single trigonometric function with no fraction.  sintsect-cost…

Q: b) sin 3x

A: Let's find.

Q: Express the product sin 6x sin 4x as a sum or difference.

A:

Q: By expressing the sum as a product, sin (86) – sin (2B) = ?

A:

Q: Find ø if, 0°<ø<360° and sinø=-0.2456

A:

Q: 2. sin 4x da =

A: Given query is to find the integral of the expression.

Q: If sinx = 1/3 , then find the value of 2cot2 x +2

A:

Q: Evaluate * sin-lr xp= V1- x

A:

Q: Use the appropriate formula to express the product sin 6x sin 2x as a sum or difference.

A:

Q: Differentiate sin (x2 + x) with respect to x.

A: The given function is, y=sinx2+x. The objective is to differentiate the function y=sinx2+x with…

Q: If x = 3 sin theta ,  Write the expression theta/2  - sin  2 theta /4   in terms of x

A: To write the given expression in terms of x, if x=3sinθ.

Q: Find Lte " sin 41]. -2r

A:

Q: マ-2SmA 2 Sin

A:

Q: Combine two fractions by using a common denominator sin x b) cos x= 1 %3D 1+ cos x

A: As value of cosθ and sinθ revolves around +1 to -1 , they take different values depending on the…

Q: S sin 2xcos5dx

A:

Q: Express as a sum or difference.sin 7t sin 3t

A: The product to sum formula:                sin α sin β  = 12 cos(α-β) - cos(α+β)

Q: Differentiate Sin(x2 +1)

A: Differentiate   Sin(x^2 +1)

Q: simplify sin2x +cos 2x for x =30

A:

Q: find the value of x  tan3x=sin 45ocos45o+ sin30o

A: given expression :

Q: Express the product sin 8x sin 3x as a sum or difference.

A: Given:sin8x sin3xFormula:sinA sinB=12 cosA-B-cosA+B

Q: Find exact value: sin(2tan-1(12/15))

A:

Q: Evaluate ∫ 3x2 sin(x3) dx.

A: To evaluate the integral  ∫3x2 sinx3 dx

Q: Express as a sum or difference:sin 7t sin 4t

A: sin 7t sin 4t

Q: sinx=6/10 and sec x <0

A: -25/7

Q: Evaluate sin (5x) dx.

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

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

A:

Q: Sketch : 3 sin (x-T/4) +2

A: Start with the standard trigonometric function y = sin(x) and transform it to get the graph…

Q: If x = 4 tan θ, express sin θ in terms of x.

A: Given that: x=4tanθ To solve the given trigonometric function,…

Q: Which of the products below is equivalent to sin (6x) – sin (4x)?

A: We use the basic trigonometric formulas to find the equivalent relation to the given expression.

Q: Find / |sin Z| ?

A:

Q: b) SE cos(3x) sin(3x) 18

A:

Q: So sin(x)dx

A:

Q: Evaluate sin (4x) dx

A:

Q: Show that sin 2x Þ 2 sin x by substituting 30 degree for x and then simplifying both sides.

A: To prove: sin2x≠2sinx For x=30°

Q: 1– sin 2x

A: We have given (sin x – cos x)2 = 1 – sin 2x

Q: -sin xdx

A:

Q: Find the exact value of the composition. 3) csc sin- 5

A:

Q: Express the product sin 4x cos x as a sum or difference.

A: Given: sin4xcosx

Q: Find (x*sin (2))'.

A: Given,         x4sinx'

Q: Express the product sin 5x sin 2x as a sum or difference.

A:

Q: sin? cos dx 4x. 4x, 8 5 5

A:

Q: tan(sin'x) is ... The simplify of

A: Given expression is Let us suppose Now, Therefore,

Q: 30 sin (30²) d0 %3D

A: ∫3θsin(3θ2)dθSubstitute u=3θ2→dudθ=6x→dθ=16θdu=12∫sin(u) duWe know that ∫sin(x)dx=-cos(x)

Q: Write sin^4 x in terms of first powers of cosine.

A: Given: Now using identities:

Q: Which of the following is equal to sin (0 –- )?

A: Given: sinθ-π3 we know that sinA-B=sinAcosB-cosAsinB                                   ..1

Q: Scm

A: The sine (sin) of an acute angle in a right triangle is the ratio of the side opposite the triangle…