sin(a - B) 1- cot a tan B sin a cos B

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Q: sin (a – B) - sin (a + B) cos (a- B) - cos (¤+ B)

A: see below the calculation

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A: To prove the given Identity, just take left hand side and show that it is equal to right hand…

Q: sin(a – B) (a) =1- cot a tan B sin a cos B

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Q: Establish each identity.

A: To prove - sinα-βsinαcosβ = 1-cotαtanβ

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A: Explanation: This is a Substraction formula Let the revolving line starts from the intial line OX…

Q: Which is NOT a trigonometric identity? O sin(a - b) = sin a cos b- cos a sin b O tan(a - b) = (an…

A: To identify, which one is not a trigonometric identity. Let a=60°, b=30°

Q: Establish each identity.

A: Given, sinα+βcosα . cosβ=tanα+tanβ by taking left hand side =sinα+βcosα . cosβ =sinα . cosβ+ cosα .…

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Q: sina – sinß (a). sina + sinß a - B tan- cot 2 a +B (b). cos20° + cos 100° + cos 140° = 0

A: Explanation: (a) sinα-sinβsinα+sinβ=tanα-β2cotα+β2   To prove the identity take the Left-Hand side:…

Q: Establish each identity.

A: Given: cos α+βsin α cos β=cot α -tan β

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A: sin2 theta + sin theta -1 = 0 , then find theta

Q: Establish each identity.

A: given,

Q: Establish each identity.

A: Here we have to prove;  sin(α+β)sin(α-β)=tanα+tanβtanα-tanβ

Q: f(r) = sin (t) cos () where n is an integer, k is a constant, and t is time. Express f as a sum of…

A: According to the given information, it is required to express the function f(x) as sum of two sine…

Q: 22. Fill in the blanks: (a) sin-x is the angle in the interval is x. (b) y = arcsinx if and only if…

A: (a) sin-1 (x) is the angle in the interval -π2,π2 whose sine is x.(b)y=arcsinx if and only if sin…

Q: sin or cos

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Q: cot B – tan B cos(2ß) %3D cot B+tan B

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Q: sin(A+B) В Simplify: sin A sin B

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Q: A+sin z If (tan a + sec z) what is the value of (A + B)? B-sin O no correct answer O 2 O 0.5 O 4

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Q: csc- 3 %3D (Type 'sin', 'cos', 'tan', 'csc', 'sec', or 'cot'.)

A: To solve the given trigonometric problem.

Q: sin x + cos ) -dx sin x | In |csc z – cot a|+ sin æ + C 1 In |csc a – cot x|+sin a + C O A B In |csc…

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Q: sin a cot a -tan a t 2 + 2 sina -sin a seca seca

A: Here we have to use trigonometry ratio for prove the equality

Q: . sin B tan B + cos B

A: on simplifying this we get

Q: Angle 0 lies in the if sin 0 < 0 and cos 0 < 0. fourth quadrant first quadrant third quadrant second…

A: Option C is correct

Q: cose + sine =1 If a sine - cose and a = 1 b x2 prove that a? b2

A: Given,xacosθ+ybsinθ=1 and xasinθ-ybcosθ=1then prove that:-x2a2+y2b2=2

Q: sin-VF-cos-VF sin sin-r+cos-F dr

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Q: 33. sin (a – B) = sin a cos B – sin ß cos a | 34. cos (a – B) = cos a cos B + sin a sin ß |

A: IN PLACE OF ALPHA BETA WE HAVE A AND B

Q: sin a + cos a -da e-a + sin a + sin

A: Writing the given integral as I=∫sin x+cos xe-x+sin xdx Now simplifying this integral. I=∫sin x+cos…

Q: Verify the identity.

A: Verify the identity.                     sin α-βcos α+β=tan α-tan β1-tan α tan β we know that,…

Q: 8. tan 6a sec 3a = 2 sin 3a sec 6a

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Q: complete identity cos (a-B) / cos a sin B

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Q: cos (a-B) 3) cos a sinß Cos tan a + cot ß %D

A: We have to prove this

Q: (sin? z – cos? z) an identity. sin x – sin a csc I

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Q: cos (A+B) = cos A cos B-sin A sin B %3D

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Q: Sin4 A+ Sin 2 A = tan 2 A Cos4 A+ Ços 2 A+1

A: Given expression: Sin4A+sin2ACos4A+Cos2A+1=tan2A Taking L.H.S of the above expression:…

Q: tan(360°+0)-cos(-0) cos(360° – 0) (a) sin(720°– a)- tan(-a) (c) sin(720° +a)- tan(360° – a) sin(180°…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Q-1 Derive the formula for: tanA- tan B 1+ tan A tanB tan(A-B).

A: we have to derive the given result.

Q: sin(-a) tan a cot(-a)

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Q: x is an acute angle. Find the value of x in degrees. 3 cos (x) = ) 2 X =

A: Given that:- Cos(x) = (√3)/2 To find :- x which is an Acute Angle. AcuteAngle :- Angle which…

Q: sin( - B) = V2 (cosB - sinB) 2 (sinB- cosB) O 2 (cosB + sinB)

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Q: sin -Cos sin+ cos e sec e csc e 81. sin e cos sin'e+ cos'e sin ở+ cos -1- sin e cos @ sin' e cos +…

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Q: x is an acute angle. Find the value of x in degrees. 3 cos (x) = 2. X =

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Q: sin a +2 sin a-sin² a sec a sec a cota-tan a+2

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Q: sec x tan I Verify the identity: cos x cot x tan I sec x

A: