3 1 - If sin 0 = - and < 0 < , find the exact value of: (a) cos 0 (b) tan 0 (c) sin (20) (d) cos (20) (e) sin0 (f) cos

Q: |1-cos(0) If tan 0 > 0 and cos 0 < 0, sin = - 2

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Q: 14. Find the smallest positive root of tan x+2 tanh x = 0.

A: Newton Raphson Method:- The root is xi+1 =xi - fxif'xi; i=0, 1, 2, ....   Given equation is tanx +2…

Q: Find sin e and cos e if the terminal side of 0 lies along the line y = 3x in QI. sin e - cos 8

A: Given: The equation of the line is, y=3x. The objective is to find the value of sinθ and cosθ.

Q: 12 Find sin 2x, cos 2x, and tan 2.x if sin x= and x terminates in quadrant IV. 13 sin 2x %3D ? cos…

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Q: 7. Find the exact values of: a) sin ¹(1) b) tan-¹(0) 5-¹ (13) 2 COS

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Q: 4. cos*x Evaluate: sin' x( sin' 3/5 x+ cos³ x 3.

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Q: 2 cos^2 x-sin x -1=0

A: 2cos2x-sinx-1=0⇒1-sinx-2sin2x=0⇒sinx=-1, sinx=12⇒x=3π2+2πn, x=π6+2πn, x=5π6+2πn

Q: 4. a. Find the exact value for: tan(5) b. Solve for x: tan(2x) = √3, x€ [₁] 2

A: (a) The objective is to find the exact value for tan5π3. (b) Given equation tan(2x)=3,  x∈-π2,π. The…

Q: 2. Prove that 1-2cos'x-sin x cos x (tan x-cot x) 3. A sine function has an amplitude of 5 and a…

A: Topic:- trigonometry equations

Q: 7/4 Find the value of sin(2x) sin(x) dx.

A: First i have made a substitutionso that integral become easy and then integrate them and find the…

Q: If x = 3 sin(0), then а. V9 + x? cos(8) 3 b. cos(x) Vx2 + 9 C. tan(x) d. cot(x) = 3 || е. sec(x) 3 O…

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

A: 3. Given

Q: 4 Suppose that sin e -and <0<1. Find the exact values of cos 2 and tan 2. Cos 2. = D tan, 2) %3D

A: As we know sin2θ+cos2θ=1. cosθ=1-452=1-1625=-35 Using Double angle formula: sinθ2=1-cosθ2=1+352=810…

Q: a sin if cos 0 = and 0 < 0 < b cos e if sin 0 = and < 0 < T C Cos 0 if sin 0 - 흥 and <0< 2T d sin 0…

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Q: sin 2x, Which of the following is equal to sin x cOs x + C 2 sin x + C Option 1 Option 2 sin 2x + C…

A: As we know that the trigonometric identity: sin2x=2sinxcosx And ∫a·fxdx=a∫fxdx Given: I=∫sin2xsinxdx

Q: 13. Find the value of tan 0/2, if sin e=-4/5 and 0 in QIII. 1/2 2+V3 -2

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Q: 2. 5. xcos x (sin'x - 2sin'x + sin°x)(cosx)

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Q: 4. Find the exact value of cos *x- sin "x-cos (2x). 4 cos x- sinx- cos (2x) = (Simplify your…

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Q: 1 1+ cos x 9. 1- cos x || sin? |

A: We can verify the statement as below.

Q: 1 Solve the equation cos x in the interval xE [0,27] 1- tan x

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Q: 3下 2 cos x 1-Sin x

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Q: 13. cot x = V3 15. cos x = /-

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Q: 3 3 | sin sin x cos xdx 5

A: It is integration problem.

Q: 1 Use the inequality sin xs x, which holds for x20, to find an upper bound for the value of sin x…

A:

Q: How do I find all values of x in the interval [0, 2?] that satisfy the equation 4 sin(2x) = 4 cos(x)

A: Given,           4sin2x=4cosx

Q: 19. Solve for x:x = (tan e + cote)² sin?e - tan?

A: Given that: x=(tanθ+cotθ)2sin2θ-tan2θ

Q: cos? (x) 5 x²e* 6 V1 – x³ 4 - ex 7 sinh(x) 8 x² arctan(x) 9 1- X

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Q: the sum of sin h 2x and cos h 2x

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Q: Suppose: sin(x) = -0.1 cos(y) = 0.5 tan(z) = -4.3 Then, sin(-r) =| 0.1 cos(-y) = 0.5 tan(-2) = 4.3…

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Q: 1- cos e sin 0 sin 0 1- cos 0 23.

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Q: 1+ sin 0 . Verify cos O 2 sec e Cos A 1+ sin A

A: Our Aim is to verify 1+sin θcos θ+cos θ1+sin θ=2 sec θ -(i)

Q: 15 Find sin 2x, cos 2x, and tan 2x if sin x= and x terminates in quadrant I. 17 sin 2x cos 2x = tan…

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Q: 7. Solve for 2 cos2 x + 1 = -3 cos x in the interval [0,21] 8. Solve for cos 2x = 1-3 sin xin the…

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Q: 1. If tan x = -3.5 then tan(-x) = %3D 2. If sin x = 0.8 then sin(-r) = 3. If cos 0.6 then cos( r) =…

A: We know that  sin(-x) = -sinx cos(-x) = cosx tan(-x) = -tanx cot(-x) = -cotx sec(-x) = secx…

Q: 8 8. sin 0 = - and tan e < 0 17 csc e = cot 0 =.

A: sinθ  = 817tanθ &lt; 0refering the graph of tanθ we will get the idea about possible values of θ. θ…

Q: 4 If cos x = csc x < 0, then sin 2x = cos 2x = tan 2x = ||

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Q: 9. y = -sin (3x) 10. y = tan (x - 60) 11. y = cos (x + 30) 12. y = 3 cos (2x)

A: In both cases there is translation of graph.

Q: 1 COS 4 Now, differentiate f'(x) with respect to x. - 4 -x* sin(x4) f"(x) = -x°•si Submit Skip (you…

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Q: 24 and cos(x)= 25 7 what is the vaule of tan(x) 25 If sin(x)= ? z,

A: According to the tangent identity, tan(x)=sin(x)cos(x). We know the value of sin(x) and cos(x), so…

Q: 3. Find all solutions to the equation sin 2x + sin x = 0 in the interval [0,27] 4. Find all…

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Q: Cos (GX) = Cos 15°, 0°<x < 360° Со X) = Cos 15°, O° < x < 360° %3D Tan( x ) = tan,05x < 2n )= tan,

A: We can find the answers as below

Q: 10. Solve the equation for x if 0 < x < 2n. 2 sin x - cot x = csC X

A:

Q: ♫♫¹⁄² sin (*) cos (*) sin (²) dx (Consider initially the first 2 terms)

A: Solving the definite integral.

Q: 8 Find sin 2x, cos 2.x, and tan2.x if sinx = and x terminates in quadrant I. 17 믐 sin 2x cos 2x tan…

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Q: 4. tan(5) a. Find the exact value for: b. Solve for x: tan(2x) = √3, xe [-]

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Q: 15 Find sin 2x, cos 2x, and tan 2x if cos x= and x terminates in quadrant I. 17 sin 2x cos 2x tan 2x…

A: Given cos x = 1517 and x terminates in quadrant Iwe find Sin 2x , Cos 2x, tan 2xwe know that in…

Q: 2. Find exact value of (a) sin-(-1) (b) cos-11 (c) tan-1 /3 (d) sin(sin¬' 0.8) (e) tan-'(tan ) (f)…

A: (a) Consider the given expression: sin-1-1 Sine gives negative one as it value at -π2. Therefore,…

Q: 1.5; cOs X dx sin³ x – 4 sin x

A: Note:- We’ll answer the first question since we answer only one question at a time. Please submit a…

Q: 50 a) Sin 25 b) Sin- Sinl0 =? Cosl0° Sin 5° = x, Cos 5° =y Sin 105° - ?

A: