1-cos M sin M sin M Simplify 1-cos M O tan(M) O 2 cos(M) O sin(M) O 2 csc(M)

Q: tan 0+sec 0-1 1+sin e 8. %3D tan 0-sec 0+1 cos 8 Proof:

A: Topic:- trigonometry

Q: Verify the ide

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Q: 5 sin a-3 cos a If 5 tan a 4, Show that 5 sin a+2 cos a 116

A: Trigonometric identity: tanθ=sinθcosθ Consider the given mathematical statement in the question are…

Q: 5 sin a -3 cos a If 5 tan a = 4, Show that 5 sin a +2 cos a 116

A: Given: 5 tanα=4

Q: 5 sin a -3 cos a 1 If 5 tan a = 4, Show that 5 sin a + 2 cos a 6

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Q: sin 2x 10. Simplify 1-cos x (a) 2cot x (1+ cos x) (b) sin 2x (1 + cos x) (c) sin 2x (d) – 2 tan x (1…

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Q: (sin e + cos 0) (sin 0 + cos 0) 1 . Multiply and simplify: sin 0 cos 0

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Q: de (sin(0) cos(0)) =

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Q: 2 1-cos 2z Is equivalent to: O cos? x O sin? O sec? x csc2 x

A: Solve  2/1-cos2x

Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos² (a) COS sin (a)

A: (a) We have to express cos2α in terms of cos2α.

Q: cos a 1+ sin a 7. Verify the identity: + 2 sec r. 1+ sin æ cos a

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Q: cos 0-sin 0 cos e sin 0+cos 0 Verify the identity algebraically: sec 0 csc 0. sin e

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Q: sin(1+ cos(0)) Find lim 1+ cos(0) Select one: О a. -1 O b. 1 Oc-2 O d. 2

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Q: sin 0 If 1+cos 0 x2 x2, then tan 2 - a) b) 4 c) x2 + 1 d) x2 |3| 2.

A: Given,  sin θ1+cos θ=x2 To determine tanθ2

Q: | sin' cos“ 4 x

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Q: sin A+cos A is 2 sin³ A-2 cos³ A+8 cos A If tan A = 1 and A < 90°, then the value of

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Q: cos(2æ) Select an identity for cos(x) O cos(x) · cot(x) – sin(æ) O csc(x) O cos(x) – sin(æ) · tan(x)…

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Q: cos? 0 + sin 0 - 1 1 1. Prove: cos? 0 sin 0 1+ sin 0

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Q: Cos 8 + sin 0 sin 0 1 cos 0 cos 8 sin e

A: As value of cosθ and sinθ revolves around +1 to -1 , they take different values depending on the…

Q: I = cos? x sin x In(cos x)

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Q: cos(2 + x () 2 + cos x

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Q: Trigonometric identities Prove each of the following identities.

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Q: 5 sin 0 – 4 cos 0 If 5 tan 0 – 4 = 0, then the value of 5 sin 0 + 4 cos 0

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Q: 1. Prove Trigonometric Identity (a) cos (sec) - cos 0) = sin2 0 cose (b) (c) 1-sin 0 1+cos 0 cose =…

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Q: cos 2r Verify the identity: = cos x + sin x. sin x cos X

A: Verify the following: cos 2xcos x-sin x=cos x+sin x

Q: cos2r - cos4r - Cos4r sin2r + sin4r cos2r + cos4r sin2r - sin4r = cot x tan x sin x COS X I3D

A: Solved the given problem using concept of trigonometric identities.

Q: sin Cabo-0 Jo tan (180-0). COS (180+x). (sIn?3C +COS?C)

A: We have to find: sin(360∘-x) ×tan(180∘-x)cos(180∘+x)(sin2x+cos2x)

Q: sin(X)=3/5, X lies in 1st quadrant. Find cos(X)

A: The value of both sin x and cos x is positive in the first quadrant. Use the identity sin2x+cos2x=1…

Q: cos? 2. cos² COS x+ SIn' X I +tan2 x ´x

A: Given : cos2x+sin2x1+tan2x = cos2x

Q: cos 8+sin e ) sec 20 + tan 20 cos 0-sin e

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Q: (sin 0 + cos 0)´ =1+ sin(20) s 0)° =1+sin(20)

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Q: ) cos(cos-¹(35)) ) sec(tan-¹(5)) csc(sin-¹(n)) ) cos ¹(cos(29°)) (4π) 5 =) sin ¹[sin ]]

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Q: 1+ cos x 75. 1 cos a - 4 cot x csc I %3D Cos a 1+ cos x -

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Q: 7. I. csc e - Cos 0 cot 0 = sin 0 II. (sin 0- cos 0)² = -1 COS %3D

A: Given that I. csc θ-cos θ cot θ=sin θ II. (sin θ-cos θ)2=-1

Q: sin 4t – sin 2t = tan t cos 4t – cos 2t

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Q: : [5 cos(5)r – 3 csc²(x) ] dz =. Evaluate: O sin(5z) + 3 cot(x)+C O sin(5z) + 3 tan(x) + C O -…

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Q: sin 30 4. sin e cos e 4 cos 0 – sec 0

A: To verify the identity: sin3θsinθ cosθ=4cosθ-secθ. Proof: We have an identity, sin3θ=3sinθ-4sin3θ…

Q: cos a+1 tan² a cos a 1-sec a ||

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Q: sin 8 cos (cos a cosec 0) do 1/2-a (1-cos a).

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Q: 49. sin + o) = cos 0 52. cos (7 - 0) = -cos 0 55. tan (7 - 0) tan 0 %3D

A: 49. sinπ2+θ=cosθ Using addition formula  sinA+B=sinAcosB+cosAsinBsinπ2+θ=sinπ2cosθ+cosπ2sinθ…

Q: 4. cos 0 ==, tan 0<0 Find the exact value of sin 0. V33 O A. 7 V33 O B. 4. Ос. -33 O D. -1 4.

A: Here I am attaching image so that you understand each and every step.

Q: sin²0 + tan²0 + cos²0 Otan ²0 cos ³0 sin 0 sec²0 ty the e

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Q: Cos 0–N1+ Sin 20 Tan 0 Sin 0 –/1 + Sin 20 N.

A: Recall: sin (2θ)= 2 sinθ cosθ sinθ cosθ= tanθ cos2θ+sin2θ=1

Q: cos*x _8. If S(cos³x · B) dx = A. -sin x + C, what is the B? С. cos x D. secx B. csc x

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Q: sin (x-b) If it is known that sin (b) = - 1, It is equivalent to 1+tan²(x)' O a) cos (x) Ob) – cos…

A: Some of the important identities of trigonometry are as follows:  sin2x+cos2x=1 secx=1cosx…

Q: 5 sin a - 3 cos a 1 If 5 tan a = 4, show that 5 sin a +2 cos a 6.

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Q: cos 0 + sin 0 2 COS 0.

A: We use the Pythagorean identity to write the expression using sin only

Q: 1. If tan a = 2 then tan( a) = %3D 2. If sin z 0.1 then sin(- x): %3D 3. If cos a = 0.3 then cos(…

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