Write the given expression in terms of x and y only. sin(sin-1(x) + cos-1(y))

Q: Rewrite – 4 sin(r) + 4 cos(x) as A sin(x + ø) A = $ =

A:

Q: Find the identical expression for the following. cos x 1+ sin x 1+sin x cos x 2sec x O 2csc x 2cscx…

A: To solve the following trigonometric identity.

Q: Find the exact value of the expression. sin 4 12 sin 4 12 CoS Cos 1 O A. 4 V3 О в. 1 О с. 2 O D. 1

A:

Q: implify the given expression  sin(3x) cos(8x) - sin(8x) cos(3x)

A:

Q: Rewrite cos(x−π6)cos(x-π6) in terms of sin(x)sin(x) and cos(x)cos(x)

A: This is trignometry problem

Q: Rewrite 3 sin(x) +1 cos(x) as A sin(x + 4) A =

A: The trigonometric addition formula is sina+b=sinacosb+cosasinb. The given condition states that…

Q: Simplify the given expression. sin(4x) cos(6x) − sin(6x) cos(4x)

A:

Q: Verify the identity: sin4 t - cos4 t = 1 - 2 cos2 t

A:

Q: cos 2x sin'x dx can be evaluated by factoring sin x as (sin?x) 2sinx and transform sin?x into 1-…

A:

Q: 1+cos5x 4. Evaluate y'for y = and simplify the answer sin5x

A:

Q: cos x ,2 1- cos x

A: We have to simplify the trigonometric expression  cos2x1-cos2x.

Q: Find the exact value of the expression. 5x sin COS COs sin 12 12 12 12 兀 sin 12 COS 12 sin Cos 12 12

A:

Q: Evaluate sin2(x) cos*(x) xdx 32 C. 32 A. 32 в. D. 32 O A В

A:

Q: Rewrite  − 6 sin ( x ) − 3 cos ( x ) as  A sin ( x + ϕ ) A= ϕ=

A: see below the answer and calculation

Q: simplify the given expression  sin(2x)cos(6x)-sin(6x)cos(2x)

A: Explanation is given below...

Q: Rewrite 1 sin(x)+ 2 cos(x) as A sin(x + 4) %3D Note: o should be in the interval-T <¢ < II

A:

Q: 3. Simplify the following expression completely: (sin x + cos x)² – 1

A:

Q: Write the given expression in terms of x and y only. sin(sin-(x) + cos-1(y))

A:

Q: It is known that sin 36°=sin x and xe[0°,360°] . Write down all the possible value(s) of x

A:

Q: 2T Rewrite cos x + 3 in terms of sin(x) and cos(x)

A:

Q: Rewrite – 4 sin(x) – 5 cos(x) as A sin(x + ø) A = $ =

A: Given the trigonometry function

Q: b. 3 tan e sin e-2 tan e 0

A:

Q: 8x O B. [5 sin 5x + 8 cos 5x] + C 89

A: The given integral is, '

Q: 5T in terms of sin(x) and cos(x) 3 Rewrite sin ( x +

A: sin(x+5π/3)

Q: Verify the identity sin 4t = 4 sin t cos3 t - 4 sin3 t cos t.

A: We have to verify the identity: sin4t=4sintcos3t-4sin3tcost We know following trigonometric…

Q: Verify the identity. (Simplify at each step.) (1 + sin a)(1 – sin a) = cost - cos? a (1 + sin a)(1 –…

A:

Q: Use substitution to determine whether the given x-value is a solution of the equation. cos x + 1 =…

A: By using substitution to determine whether the given x‐value is a solution of the given equation.cos…

Q: simplfy the given expression  sin(5x) cos(8x) − sin(8x) cos(5x)

A:

Q: 1 s¯¹(x) 2 cos √1-x² -dx

A:

Q: Find at least one solution to the following equation: sin(x² – 1) 1– sin(x² – 1) = sin(x) + sin (x)…

A:

Q: r sin ³0 cos³ 8 do 3

A: Topic:- application of integration and trigonometry

Q: Express the given quantity in terms of sin x or cos x. sin (6t – x) O A. cosx- sin x O B. - sinx C.…

A: The given expression sin6π-x

Q: The simplified form of cos²(x) sin(x) + sin(1) is: Select one: a. sin(x) b. None of these c. cos(x)…

A:

Q: Q5. Evaluate the expressions: x² + 4 1. sin sec 2. cos ( sin

A: Using Pythagoras theorem we calculate the given expression.

Q: Rewrite sin 2 cos as an algebraic expression in v. 4 sin 2 cos 4 믐 =

A: We have to write the trigonometric expression as algebraic form in terms of v.

Q: Find the exact value of the expression. sin 165° O A. - v2(V3 – 1) O B. - v2(V3 + 1) VZ (V3 - 1) Oc.…

A: We need to evaluate the exact value of the following expression sin165°

Q: Simplify the given expression. sin(3x) cos(5x) − sin(5x) cos(3x)

A: To simplify sin(3x) cos(5x) − sin(5x) cos(3x)

Q: sin' x -du u cos x =-[u-3u²+3-u' du

A: ∫sin7xcos4xdx We have to find the above integral.

Q: Write the expression as an algebraic expression in x for x > 0. sec sin-1 x2 + 36

A:

Q: Verify the identity : sin 4t = 4 sin t cos3 t - 4 sin3 t cos t

A: Verify the identity : sin 4t = 4 sin t cos3 t - 4 sin3 t cos t

Q: Write the expression – sin x + /3 cos x in terms of Sine only, in the form k sin (x + ø). Select…

A:

Q: Rewrite sin (z + 1I) in terms of sin a and cos a. Enclose arguments of functions in parentheses. For…

A:

Q: 4) Write the given expression in terms of x and y only. cos(sin-1(x) – tan-(y))

A:

Q: rewrite cos(x+4pi/3) in terms of sin(x) and cos(x)

A:

Q: Write the given expression in terms of x and y only. cos(sin−1 x − tan−1 y)

A:

Q: Write the expression cos (2 sin'x) as an algebraic expression in x, where (-1< x <1). Select one:…

A:

Q: cos x sin'x dx can be evaluated by factoring sin'x as (sin?x)²sinx and transform sin?x into 1– cos²x…

A:

Q: 4 Ssin*(x)cos¯(x)dx

A:

Q: Rewrite cos(x−3π/4)in terms of sin(x) and cos(x).

A: According to trignometry identity Cos(a-b) = Cosa Cosb +Sina SinbCos(π-θ) = - CosθSin(π-θ) = Sin θ

Q: Find the exact value of the expression whenever it is defined. a. cos( 2 sin-1(3/5)) b.  tan(2…

A: given: a cos2sin-135,b tan2tan-152 we know that cos2θ=1-2sin2θ…