sin (플 + z) + sin (-a) is equivalent to: 4

Q: i) Sin 20easoal-Sin?

A: Use the trigonometric identities,…

Q: What is the equivalent expression of sin( −z) + sin(+z)?

A:

Q: I--I---A sin dydx sin:

A: Given I=∫x=12∫y=xxsinπx2ydydx+∫x=24∫y=x2sinπx2ydydx In the given function variable y is in…

Q: Verify that sin(x+y) + sin(x-y) = 2sin(x)cos(y). You must list out each step you used to verify this…

A: we know that sinC+sinD=2sinC+D2cosC-D2 here, C≡x+y, D≡x-y

Q: sinx = 5/13, x E 5,1], then cosx =?

A: We are solving the problem by the property of trigonometry ratio.

Q: Find (ot (Sin-¹) (-1))

A: cotarcsin-36Use the following property: arcsin-x=-arcsinx=cot-arcsin36Use the following property:…

Q: lim, 0 tan² (7x) cot(11x) (r+7)sinx

A: Given: It is given that the limit is limx→0tan27xcot11xx+72sin x. To find: The main aim is to find…

Q: The smallest positive number for which sin(2z) sin z = 0 is z = Hint: Apply a multiple angle or…

A: Given information: sin2x-sinx=0                                          ...(1)

Q: Express sin(x +y+z) in terms of cosine and sines of x, y, z.

A: Associative Law: A+B+C=A+B+C=A+B+C Distributive Law: AB+C=AB+AC Left distributive lawA+BC=AC+BC…

Q: Find the exact value of sin ( I sin 4 %3D

A:

Q: Use trigonometric substitution x = 3 sec 0, to evaluate 4xV4x2 – 9 dx . 2

A: The given integral,∫4x4x2-9dx

Q: Using Euler' formula, show that sin 2x = 2 sin x cosx

A: Euler's Formula used.

Q: 4. When A + B + C = 180°, show that sin 2A + sin 2B + sin 2C = 4 sin Asin B sin C

A:

Q: Prove sin?x tan²x – cos?x = sec²x - 2

A: To prove : sin2x tan2x - cos2x = sec2x - 2

Q: express sin(x+y+z) in terms of cosine and sines of x, y and z

A: Answer and explanation is given below..

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

A: Given, sinθ.secθ=tanθ transform leftside to rightside from trignometric formula we know secθ=1cosθ…

Q: Express as a product.sin cos θ + sin 2 θ

A: To express sinθ cosθ+sin2θ. Solution: We know that, sin2θ=2sinθ cosθ Therefore, given expression can…

Q: 2. Is trigonometric substitution needed to evaluate /9 - x² dx?

A:

Q: 1 what is sin(-x)? 7 Given that sin(x) =

A:

Q: Differentiate. (а) у 3 За? sin z

A:

Q: Rewrite tan sin" as an algebraic expression in v. 9+v tan sin 9 + v ?

A: To rewrite the below expression as an algebraic expression in v.

Q: 2. Explain the difference between sin(2x), 2sin (x) and sin? (x).

A: Follow step 2

Q: Prove + cosß)* +(sina + sinß) = 4cos² a - B) %3D

A:

Q: –1 Will sin (sin- x) result in the same answer as sin- (sin x)? Explain your answer.

A:

Q: Using trigonometric substitutions, S 16 xV16- X 1S equal to:

A:

Q: sin 5a - sin 2a ]sinO OcosO olo

A:

Q: find

A: Given,           y=2sin22x*3tan-12x

Q: What is the exact value of sin (-11π/2)?

A:

Q: sin z sin- is equal to 2

A:

Q: If cos(x)=A, cos(y)=B, sin(x)=C and sin(y)=D, find an expression for sin(2x+y) which only involves…

A: If cos(x)=A, cos(y)=B, sin(x)=C and sin(y)=D, find an expression for sin(2x+y) which only involves…

Q: 2. Plot sin (x) and cos (x) on the same figure, then on the same axis using different colors. Where…

A: The graph of sinx for 0<x<2π is:   The graph of cosx for 0<x<2π is:

Q: Hiw/ By using inverse fumction find : Sin(2z)=

A: Given: sin z+i =4i

Q: tan² (x) sec¹(x) dx.

A: Given, ∫tan2(x)sec4(x)dx

Q: It sin (0) =-1/6, Pind sin Lo)

A:

Q: & tan B give

A: We have to find

Q: Mutiply    (sin theta + 4) (sin theta +3)

A: Trigonometry: (sin θ+4)(sin θ+3) We need to multiply the above factors.

Q: Evaluate 2 sin x cos x dx by three methods: (a) Let appearance of the answers obtained in (a), (b),…

A: To evaluate: I=∫2 sin x cos x dx

Q: b. use tand=-1 d. cusd- e. f. sin--

A:

Q: y? sin (tan Sx|

A: We have to find derivative

Q: 1. When does csc z = 2? 2. When does tanʼr = 1? 3. When does cotx = 0? 4. When does secx = -2?

A: Trigonometric equation

Q: Prove the identity. TC sin +x+ 2. cotx sin (n-x)

A:

Q: What is the exact value of sin 195°? O-2-V6 4. O v8-V2 4 O -V6+, 2

A: here we will find exact value of sin(195),

Q: What is the exact value (not a decimal approximation) of sin

A:

Q: Evaluate: sin-'A, where A = a + jb

A:

Q: Use Theorem 1 to verify the formula.

A:

Q: sin z = -isinh (iz) %3D ulgn

A:

Q: Establish the identity. sec 0• sin 0 = tan 0

A:

Q: Determine if the statement is true or false.    2 sin  A/ 2 = sin A

A: Given : 2 sin  A/ 2 = sin A   Taking LHS : = (2 sin  A)/ 2 = sin A