A) Prove the identity Sin (A + B) + Sin (A - B) = 2SinA cosB

Q: B)Prove (cose + i sine)" = cosne + i sin ne

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Q: Verify the identity. sin +0 = cos 0 0 2

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Q: 2 v sec 2 1+ cos 0°

A: We have to find the identity

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

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Q: Prove the identity. +x + sin 6. sin = cos x

A: Given, We have to prove the identity sinπ6+x+sinπ6-x=cosx

Q: 3 Prove the identity: sin30 = sin® –sin30 using De Moivre's theorem.

A: To prove the given identity ,we have to use De Moivre's identity.

Q: Find all general radian solutions: cos x+2sin.xcos.x=0

A: cosx + 2 sinx cosx = 0 cosx ( 1 + 2 sinx ) = 0 cosx = 0.          OR.     1 + 2sinx = 0 cosx =0.…

Q: 3- Represent in the form of x+ iy a) V8 (cos + i sin m) b) 6 (cos 7 + i sin7)

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Q: PROVE that sin x = V1 – cos² x is NOT an identity. -

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Q: Prove the identity sin(-0)- cos (+0)

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Q: Prove the identity: cos(x + y)cos(x – y) = cos?x – sin²y

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Q: Using an appropriate identity, compute the exact value of sin(375°). V3-V2 4 V6-V2 2 V2+v3 4 O v2-1…

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Q: snip

A: Our Aim is to establish the identity given below:-1-sinθcos (θ)=cos (θ)1+sinθ-(i)

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Given: 4∫sinx cosx dx=-cos2x+C To Determine: Whether the statement is true or false. If it is false,…

Q: Prove the identity (sin x + cos x)? – sin(2x) =1

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Q: A. Find the exact value of the composite function. sin sin 4

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Q: B)Prove (cose + i sine)" = cosno + i sin no

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Q: Find sin 5, given that sin x = 2 i and 0<x<5.

A: Here  sin x=14⇒cos x=1-sin2x              ⇒cos x=1-116              ⇒cos x=154 Now, sin2x2=1- cos x2…

Q: (a) Prove that Sin-1x  + Cos-1 x  = π/2 .(b) Use part (a) to prove Formula 6.

A: a) We have to prove sin-1x+cos-1x=π2 Let sin-1x=θ                                     ⋯⋯1…

Q: 5. cos A =- and sin B =, both A and B in QIl. 6. cos A = - and cos B = - 2, with A and B in QIII. 17

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Q: Find the exact length of r = 3 sin 0 + 4 cos 0. II

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Q: 3. Using the fact that sin 2a = 2 sin a cos a, and the fact that 0 = 2a, rewrite the area of the…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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: Show that sin (A + B) + sin (A – B) = 2 sin A cos B. -

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find a value of x that satisfies the equation cos 12° = sin (x). %3D

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: Prove that: Sin'x+ cosx=I

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Q: 4. Prove the identity csc 0 – sin 0 = cot 0 cos 0.

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Q: 2) Verify that the equation is an Identity tan 0 %3D sin 0 sec 0 %3D %3D

A: We know that secx is the inverse of cosx and tanx=sinxcosx the objective is to prove the…

Q: Show that the equation sin(cos 2x)= V1-4x² is an identity. %3D

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Q: 1) Prove that cos°(x) + sin (x) = 1. (refer to notes). Use the "Square" formula.

A: See the attachment

Q: prove the identity  sin(x) + sin(3x) = 4 sin(x) cos2(x)

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Q: Prove that sin x+ cos -1 -1

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Q: Verify the identity. 2 cs" e 1-- 1+ sin 0 = sin 0

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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: Verify that the equation is an identity. 1 1 1- sin x 1+ sin x COS

A: We need to verify the identity:11-sinx+11+sinx=2cos2x

Q: Prove that sin? 0 + cosª 0 = sin“ 0 + cos² 0.

A: Using fundamental identity of trigonometry.

Q: 24. Prove the identity 1 – (sin x – cos x)2 = sin 2x

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Q: (a-B) (at sin (a+B) 2- show that cosa – cosß = -2sin 2.

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Q: Verify the identity: sin 2x = 2cot x sin2 x.

A: Given, sin 2x = 2cot x sin2 x. Now consider the right-hand side we get,  R.H.S=2cotx…

Q: sin 0(3sin? 0+ 4cos? 0) = 3 cos 0 + cos³ 0 4. Prove that tan 0

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Q: 1. Prove the following identity: sec(0)-sin(0) sin? 0 %D tan(0)+cot(0)

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Q: Q1- Show that cote)+tan(e) a. cofe)-tan(9) sec(20) b. sin(36) = 3 sin(@) - 4sin (0) = Se %3D

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Q: Verify the trigonometric identity sin(z - 1/2) = - cos(z)

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Q: cos A . Show that· = sec A is an identity. %3D 1-sin² A

A: Doing some manipulations, this can be done

Q: (3) Prove that Sina cos a -Sinß cos B sin cos B sinß cosy sin(2+ B+y)

A: We have have to solve given problem:

Q: TT CoS-+COs sin 3 = sin Prove that Sin 3 - 6. 6. 2.

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Q: Find all general radian solutions: cos x+2sin xcos x=0

A: According to question, Given trigonometric equation, cos x + 2 sin x  cos x = 0

Q: c. sin-1(3)3

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.