21) sin 0- 215 and cos 0>0 3V7 and cos 0 <0 23) csc 0-

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Q: (1+iV3)"+(1-i/3)" %3D 2n+1 Sin(- 3 2" Cos( ) 3. 2n+ Cos( 3. 2" Sin 3. (1-V3

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: Establish each identity.

A: The given identity is,  1-cos θsin θ+sin θ1-cos θ=2 csc θ The objective is to establish the…

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Q: 4 Suppose that sine = and <0<. Find the exact values of cos and tan Cos Undefined tan Continue O

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Q: Given the following informationabout one trigonometric function, evaluate the other five functions.

A: Solution: Consider the given trigonometric function is sin θ = -45    and π &lt; θ &lt; 3π2 sin θ =…

Q: 15) tan-l –1 --1 V2 17) cos 2 1 19) tan- 1

A: Given: 16)  tan-1-1

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Q: 2 2 In sin 2x - 2 In (1 + cos 2x) = In ( )- %3D

A: Given that: The identity is 2 ln sin 2x - 2 ln ( 1 + cos 2x) = 2 ln tan x .

Q: What is the exact value of 2sin(x/2) * cos(x/2) if sin of x = 3/5 and cos of x = 4/5 ?

A: To determine the exact value of the expression.

Q: How do you solve question 3 and can you show me step by step?

A: 3. Given

Q: 5TT 2. Cos 6. 2п Cos 3 + sin sin 6 - - - 3 一。

A:

Q: 9. cos 0 =: 24 * and n < 0 < 2n 25 sec 0 = sin 0

A: Use trigonometric ratio to solve

Q: (2 (cos 15° + i sin 15°))² = 2 (cos 15° + i sin 15°) · 2 (cos 15° + i sin 15°) = x What does x…

A: Given 2cos15°+isin15°2=2cos15°+isin15°·2cos15°+isin15°=x Solve the following expression is as…

Q: 12 Prove that sin 80 cos 0-sin 60 cos 30 a. = tan 20 cos 20 cos 0- sin 30 sin 40

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Q: a) cos 0 = , 0 is in Quad. I -5 b) sin 0 13' Ө is in Quad.IV X = ‚y = „r = 5 X = - y = „r = 13 tan 0…

A: This question is related to polar coordinates

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A: Integration properties help to find the integration of the given function. Integration property for…

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Q: 20. е -3.1х cos 2.1x, e -3.1х sin 2.1x

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Q: A = -, find sin 2. If 90° <0 < 180° and cos 0 :

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Q: 1+ cos(0) sin(0) sin(8) 1 + cos(0) = 2 csc(0)

A: Given: 1+cosθsinθ+sinθ1+cosθ=2cosecθ

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A:

Q: 15) csc cos -1 1 17) csc cos 3 -1 19) sin cos 17 4/5

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Q: 15) tan- -1 Vz 17) cos -1 19) tan 1

A: topic - Inverse trigonometric ratios

Q: 16) tan cos -1 V299 18) cos tan-- V57 20) sin cos 19 3/5

A: topic - Inverse trigonometric functions

Q: Find sin 0 and cos 0 if tan 0 sin = 3/5 sin = -3/5 sin = 4/5 sin = -4/5 cos = 3/5 cos = -3/5 cos =…

A:

Q: 4 If tan(0) , 0 < 0< 3 T then 2 sin(0) equals cos(0) equals COS COS sec(0) equals

A: Use Pythagorean theorem to calculate remaining trig ratios as following:-

Q: 7. Determine all the solutions to the equation in the interval [0, 27): sin 20 cos0 – cos 20 sin0 +1…

A: As we know that Sinx-y=SinxCosy-CosxSinyThe genaral solution of Sinz=-1  then z=Sin-1-1=nπ±π2

Q: 2 sin 510°- cos 340° cos(-20°) | (8) cos 110°

A: I am going to solve the given problem by using some simple trigonometric values to get the required…

Q: (1 + cos α)(1 − cos α) = sin2 α (1 + cos α)(1 − cos α) = 1 −(     )=sin2α

A:

Q: 3. 2 [sin 4 3x cos² 3xdx

A: 3. To evaluate the ∫sin43x cos23x dxFormula: (1) cos2x=1-sin2x(2) ∫sinn xdx=-1n sinn-1x cos x+n-1n…

Q: II Find sin .2 4), and tan4) from the given in 2. 10 sec(x) = , 270° < x < 360° %3D sin 2 (즐) - %3D…

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Q: find exact value 197 8. (a) cos 6 (b) сos 6 (c) cos 6 9. (a) cos 4 (b) cos 4 (c) cos 4 10. (a) sin 4…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 19. 2 sin 3x = V2 %3D 21. 2 cos (2x + 1) = 1 23. 2 sin (4x - 1) = 1 3x 25. 2 cos %3D EN =

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A:

Q: Evaluating an Inverse TrigonometricFunction In Exercises 5–18, find the exactvalue of the…

A: NOTE-AS WE ARE ALLOWED TO ANSWER THREE SUBPARTS IN ONE SESSION, SO, I HAVE ANSWERED FIRST THREE FOR…

Q: 3 Verify the identity: csc (0) 1-cos2 (0) cos (20) 2 sin(0) + 2tan(0) cos(0) = %3D sin (0)

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Q: 4. Solve 3 tan 0 – cos 0 = sin 0 for , 27| COS

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Q: 7. Solve sin 0-cos 0= lif for 0<0<27

A: It is given that,

Q: COS ZIT 12 sin 5TT- CoS 5TT. s'in 12 el

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Q: 4. Solve over the interval [0, 360°). sin@cos35° + cos0sin35° 1 2

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Q: 1. у%3 Sin 5x +1 2. y = cos 3. у 3 tan (7x-1)

A: 1st derivative of 1st 3 trigonometric function are :

Q: 18. Prove tan (0)+1= sec (0) 19. Solve: 2cos? (3x) + 5cos (3x)- 3 = 0 a. b. 4 cos

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Q: If cos 0+sin 6= /2 cos 0, show that cos 0-sin 6 = /2 sin 6.

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Q: 2 If the identity COS x = 1 – sin“ x was verified graphically then the graphs of y = cos x and y = 1…

A: Please refer the attached image for complete solution.

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

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Q: 4. cos' (sin (7 /6 )) 5. sin 1 (cos (π/ ) 6. tan (sin (3n/2))

A: