2 1. sin 0 == and sec 0 > 0 2. sece = - and tan 0 > 0 3

Q: Establish each identity.

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Q: (tan® – sin®)²+(1 – cos®)²= (1 – sec0)²

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Q: 15 and x terminate: 8. Find sin 2x, cos 2x, and tan 2x if tanx = sin 2x |3| cos 2x

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Q: 4) Find the exact value of sin 420 cos 12°- cos 420 sin 12°

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Q: 2) sin- 0 4) cos 6) cos-1 | V3 8) tan 3 -1 -1 10) cos

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Q: If sin x + 1/ sin x = √√2, then sin²x + 1/ sin²x is equal to

A: We have to find the value of sin^2x + 1/sin^2x

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = - 4 - cos(x) > 0 sin(2x) =…

A: Answer

Q: 2. cot 0= sin 0 = cos 0 = tan 8 = csc = sec 0 = 2

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Q: 2. Express sin40 and cos40 in terms of powers of sin 0 and cos e only, respectively.

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Q: 12 Find sin 2.x, cos 2x, and tan 2x if sinx= and x terminates in quadrant II. 13 sin 2x cos 2x tan…

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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

Q: 1) Prove that sin 0 tan 0 + cos 0 = sec 0.

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Q: Which is an appropriate first step in verifying this trig equatio Cos 0 1-sin 0 sece + tan 0 It is…

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Q: a) sin ) co () - c) tan 4) cot (- *) - ) me (- *) - sec

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Q: 4 5 Points ntegral of sin-cos-sin0 de has the form (e) +C. What should be the value of e =0?

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Q: 1- cos 2x 1 a) sin 2x cot x

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

A: topic - Inverse trigonometric ratios

Q: 13. sec*0 sin 8 de

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Q: 4 sin 0-2 csc 0= 0 with 0 degrees

A: We use sin0=0 and csc0=1/sin0

Q: 1. ² sin() cos() sin(x) dx (Consider initially the first 2 terms)

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Q: 4 Find sin 2x, cos 2x, and tan 2x if sin x = and x terminates in quadrant II. 5 sin 2x = S ? cos 2x…

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Q: Establish each identity given in attachment.

A: Given equation: 1+cosθ+sinθ1+cosθ-sinθ=secθ+tanθ

Q: tan20 21-25. Verify = sec?e – sec 0 cose + 1

A: To verify: That tan2θcosθ+1=sec2θ-secθ. Formula used: Trigonometry identity: tanθ=sin θcos θ…

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

A: topic - Inverse trigonometric functions

Q: 4л coS 씀Cos 즙Cs -sin sin 15 15 15

A: We have to find the exact value cosπ15cos4π15-sinπ15sin4π15.

Q: 24. arccsc ( csc D. 8 25. cot(cot-1(-10)) E. 4 rec-(- tan ) 26. sec-1 F. V95

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Q: 2) Suppose tan 0 =7 and sin 0 <0. Compute sin 0 and cos 0. Exact answers are required.

A: Consider the given equation, tanθ=7 Since, there is sine negative and the value of tangent is…

Q: 2) Verify. cot8 ese 6 %3D sin 6 tan 6

A: Use the following identities:

Q: 6. 1) cos sin 7 -1 2V5 3) csc cos -1 5) csc sin- 7) sec tan-1 V3 4/5

A: Answer of 1: Here the angle of cosine function is an inverse sine function.

Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx=- and x terminates in quadrant II. 17 sin 2x cos 2x %3D…

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Q: 2. 2) tan- 1 4) sin- 6) tan-1 V3 -1 01_ V3 10) sin -1 2. 12) tan-! 3.

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Q: Approximate all solutions to tan(x)2 +4 tan(x)– 21=0 in the interval [0°,360°) X = |degrees Round…

A: We have to find

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: Find sec2x if sin x = 6/10 and sec x < 0

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Q: Find the exact value of the expression whenever it is defined.

A: Given:a sinsin-1513- cos-1-35b cossin-145+tan-134c tancos-112- sin-1 -12

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

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Q: 1 1. sec-1 x = cos-1 = cos

A: we have to show that the given relation.

Q: 2 sin 1 3 -1 cos tan 4

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Q: 2. If sin x cos x + sin 2x =1 what are the values of x

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Q: V3 1) tan 3 cos¯1 –1 -1 2) cos-1 | 3) sin- 0 4) tan-' (-V3) 5) tan- 6) sin- 7) cos 2 8) tan- –1

A: tan-133

Q: Suppose that π/2≤θ≤π, sin(θ)=2/10, find tan(θ)=______. (round to 3 decimal places)

A: Given:-sinθ=210π/2≤θ≤π

Q: 61. sec 2 1+ cos 0 65. cos 64. tan = csc v - cot v sin (30) 67. cos (30) = 2 sin 0 cos 0 2.

A: (61) We have to prove, sec2θ2=21+cosθ We know that, from half angle formula cosθ2=1+cosθ2 On…

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: Find exact function values for: a. sin(α/2) b. cos(α/2) c. tan (α/2) cosα = 12/13, (3π)/2 < α <…

A: The given trigonometric ratio is cosα=1213 ,where3π2&lt;α&lt;2π (a) To find the value of sinα2…

Q: [cos 20-i sin20cos 30+ i sin301² [cos 40+ i sin40 ]³[cos 20-i sin2015 using De Moivre's theorem?

A: We have to solve given Questions.

Q: 8. If tan 0 = 15 what is sin 0? sin 0 = %3D iblo

A: The solution is given below in the next step:

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

A: