tan 20° + tan 25° 29. 1 - tan 20° tan 25° tan 40° - tan 10° 30. 1 + tan 40° tan 10° 31. sin sin 12 32. cos sin sin 12 12 - COs COS 12 12 cos 12 12 33. cos cos 12 12 + sin 12 + cos 18 34. sin Cos 18 18 sin 18

Q: 10 sin (55°) cos (101°) O A. 5(sin (156°) + sin (– 46°)] B. 10[cos (156°) + cos (- 46°)] O C. 5[cos…

A: Topic -trigonometry

Q: between 0° and 360°. z, = cos 100° + i sin 100° Z2 = cos 230° + i sin 230° %3D Choose the correct…

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Q: Find sin(즐), con(쓸). and tan from the given information. 2. cos(x) 24 180° < x< 270° 25 7 sin) = 2 5…

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Q: ind the exact values of s in the interval [0,2x) that satisfy the given condition cos 1.2

A: Given : cos2s=12 To find the exact values of s in the interval [0,2π).

Q: 18. tan A = 8.4 19. cos A= 0.05 20. cos A = 0.72 21. sin A= 0.61 Choices for 12-21

A: Given query is to find the indicated angles.

Q: 2. If 5 sin 0 + 12 cos 0 = 13, then what is 5 cos 0 - 12 sin equal to? (a) -2 (b)-1 (c) 1 (d) 0

A: Here

Q: exp(exp(-in)) coS TT -1sin Tt -0.3679 - exp(cos Tu i sin Tt) 1 Sin 0.3679

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Q: Which of the following is equivalent to sec^2θ−1/sec^2θ for all values of θ for which…

A: We have to simplify

Q: Perform the indicated operation. 3. [4(cos 60° + i sin 60°)][6(cos 330° + i sin 330°)]

A: We have to solve given Questions.

Q: 8. sin 2a = Zsn AcosA 24 25 12 25 9. cos 2a =

A: 8sin(2α)=2sin(α)cos(α)Let…

Q: 19. sin' 0.3 od ni be 20. sin 0.47 21. sin (-0.32) -1 STS 22. sin (-0.625) -14 24. cos -1 23. cos 8.…

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Q: 6. Find the exact value of each of the following expressions: (a) sin(20°) cos(80°) – cos(20°)…

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Q: 1. 7.3 #1 a. sin 46°37' = Cos (90°-4637) = Cos 4323 b cos 73 12' = Sin C90-7372')= Sin 18 42 %3D 2.…

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Q: # 4-7 Calculate the value of y to the nearest tenth: IXX-20 4. cos 52° =Y 80 70 5. sin 68° y %3D %3D…

A: Ans (4). Given that, sin 52o = y80 we have to calculate the value of y. y = 80×sin 52o y = 80 ×…

Q: Find cos(θ) if sin(θ) is given and θ terminates in QI. sin(θ)= squareroot of 11/6

A: To find cos(θ).

Q: now to get cos-1 value?

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Q: given that sin(x)=11/61, and 0<x<<x<pi/2 find cos(2x)

A: Given that sinx=1161             0&lt;x&lt;&lt;x&lt;π2 The interval shows that x is in first…

Q: Find the exact values of sin 2θ, cos 2θ, and tan 2θ for the given value of θ. cos θ = 4/5 ;    0° <…

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Q: 31. (cos 40 + i sin 48)²(cos 30 + i sin 30) = A cos 50 + i sin 50 B cos 110 +i sin 110 C_ cos 30 + i…

A: cos4θ+isin4∅2cos3θ+isin3θ= formula used- CosACosB-SinASinB=Cos(A+B)SinACosB+CosASinB=Sin(A+B)i2=-1

Q: - 47 then 3 - If 0 = sin(0) equals cos(0) equals tan(0) equals sec(0) equals

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Q: 6. Find the exact value of cos 5 Tt 12. 7. Find the value of: (tan 10°) (tan 15°) (tan 20°) ... (tan…

A: 6- Given- cos5π12 To find- The exact value of the above expression. Explanation- Rewrite the given…

Q: 13. Prove. 1+ tan 0 a) cos 0+ sin 0 = sec 0 1 b) 1- sec 0 1+ sec 0 1 = -2 cot? 0 ,2 c) cos 20- cos…

A: Note : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: 5 8. If sin(0) = and tan(0) 13 5 12 find sec(0).

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Q: 22. Given that4 cos 0 + 3 sin 0 = R sin(0 + a), the value of R and tan a are respectively 3 A 25…

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Q: Give the EXACT values for the quantities. (a) sin 19π/4 = (b) cos −14π/3 = (c) cos −5π/6

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

Q: 18. Assume that sin(x) + cos(x) = 1/4. .3 What is the value of sin (x) + cos°(x)? O 5/26 11/32 O…

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Q: Determine the quotient of 4(cos 250 - i sin 250) and 2 (cos 15 -i sin 15) A) 2 (cos 235 + i sin 235)…

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Q: 13 7 3. 36 A. sin (+5 = sin cos+ cos sin %3D B. sin (" – ) = sin cos- cos-sin sin 9. 4. 36 A. cos- =…

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Q: 3. Find the exact value of cos(67.5 ) sin(1 12.5 ) a. b. cos165°

A: Question 3 -

Q: 7-8. Prove that cos(a + B) cos(a – B) = cos?a - sin?ß %3D |

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Q: Find the exact value of cos(α − β) if α and β both lie in the first quadrant, and sin α = 12/13 and…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 9. What is the exact value of cos(a - B) if sin a = 12 and sin B = and a is in quadrant I while B is…

A: Given that sinα=1213 , sinβ=725 α lies in first quadrant and βin second quadrant. We have to find…

Q: Establish each identity.

A: Our Aim is to prove the identity given below:-1-cos 2θ +cos (4θ)-cos (6θ)=4 sin (θ) cos (2θ) sin…

Q: Find sin x/2, cos x/2, and tan x/2 from the given information. cos(x) = − 12/13 ,   180° < x < 270°

A: Given

Q: We work 3 200 20 4 24 1. sin 20 st 2. cos 20 3. tan 20 4. sin 2a 5. cos 2a 6. tan 2a

A: As per guidelines we can find answer to only three subparts of questions at a time. So if you need…

Q: 1 then sin 20 is equal to 2 If 20 is in QIl and cos 30 cos 0 + sin 30 sin 0 V3 1 1

A: The given trigonometric problem is solved below in detail.

Q: 2(cos 120°+i sin 120°) 4(cos 40º+i sin 40°)

A: We have to simplify 2cos120+isin1204cos40+isin40

Q: In Exercises 19–24, assume that 0 < 0 <T/2. 19. Find sin 0 and tan 0 if cos 0 5 13

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the exact value.. 1. Cos 70°cos40°+sin70°sin40° 2. Sin 7π/12 using the fact the 7π/12= π/3 +π/4

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Q: 7. If 0° < 0 < 90° and cos 0 find sin 20. 21/2 121 14/2 121 84 2 121 28/2 121

A: Since, we know that- sin2θ=2sinθcosθ &amp;  sinθ=1-cos2θ Then, sin2θ=2cosθ1-cos2θ

Q: Find the exact values of sin(θ/2), cos(θ/2), and tan(θ/2) for the given condition. csc θ = − 5/3 ;…

A: GivenCosec θ=-53    -90°&lt;θ&lt;0°to find sin θ2,cos θ2,tan θ2since -90°&lt;θ&lt;0° lie in IV…

Q: Suppose that sin(a) = 3/7 and cos(b) =2/8 define in the first quadrant, determine cos(a+b). (round…

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Q: Establish the identity. sin 0+ sin (30) cos 8- cos (30) Choose the correct sequence of steps to…

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Q: 2/2 Suppose cos(a): , where sin(a)<0 and cos(B) where <B<n, what is the exact value of cos(a +B)?…

A: Here we have to choose the corect option.

Q: – 57 then - If 0 : sin(0) = cos(0) = COS %3D

A: Given : θ = -5π/6 Then, sinθ = sin(-5π/6) = sin(-5×180/6) sin(-150) = -sin(150)         [∴ sin(-θ)=…

Q: . Determine the exact value of sin β where tan β < 0 is an acute angle, and cos β = 8/17

A: to find value of sinβ

Q: If cos B = 1/7, which is true?     sin (90 – B) = 1/7     sin B = 1/7     cos (90 – B0 = 7/1…

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Q: Let sin A = 15 17 with A in QII and sin B = −  3 5 with B in QIII. Find sin(A + B),cos(A + B), and…

A: Given that,  sinA=1517, with angle A is in the second quadrant (QII). sinB=35, with angle A is in…

Q: Let sin A = 4/5 with A in QII and sin B = − 8/17 with B in QIII. Find sin(A + B), cos(A + B), and…

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Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.