37 Determine cos(2.4) given that tan A =-, where A

Q: 15 Suppose that tan ɑ = and 90° <a < 180°. 8 Find the exact values of cos 5 and tan-

A: Given, tanα =-158, 90°&lt;α&lt;180°

Q: 8. Find the exact value of cos 75°.

A: Given cos75°We need to find th exact value of cos75°

Q: 18. Find the exact value of the following expressions. Simplify. 7 cos arctan V3 a) b) tan cos 4

A: Here we calculate the value

Q: Let sin s=--, with s in quadrant IV and let cos %3D II. Find cach of the following. 4. cos (s +1) 5.…

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

Q: Suppose that cos θ = 2/5. Calculate tan θ in the following two cases: (a) 0 <θ< π/2 and (b) π<θ< 2π.

A: Given cosθ=25,                      (1)We know that ,sin2θ+cos2θ=1sin2θ+252=1Subtract  252 on both…

Q: 8. Show that sin a (1+ tan a) + cos a (1 + cot a) = sec a + csc a.

A:

Q: 5. Which of the following quantities is undefined? (a) sin-'(-}) (b) cos-(2) (c) csc-() (d) csc-'(2)

A:

Q: 4. Find the exact value of each of the following. a) cos (2 sin-12) 5. b) a tan (2 tan-12)

A:

Q: The smallest positive number for which tan(3z) = 1 is z = .The next larger such number is z =

A:

Q: II. Find tan (A +B) and tan (A - B) if: 5. cos A = - and sin B =, both A and B in QII.

A: As per bartleby guidelines we only give first question answers.

Q: (2) Find the exact value of the following: (i) cos-(-) (ii) tan-V3 (ii) 2tan-1+ tan-1, (iv) sec…

A: (i) cos-1(-1/2) = 2π/3 (ii)tan-1(√3) = π/3

Q: Let sin 0 = with A in QIV. Find the exact value of cos 20 %3D 315

A: A is in QIV. There cos is positive  So,

Q: Q2/ Evaluate the following: 1- Prove sin 2x+cos2x+1 sin 2x-cos 2x+1 cot x 2- Sinh (u-v) = Sinh…

A:

Q: Which of the following is a value of tan 0 if V3cos 0 - sin 0 = v2? -V3 + 2 V2 + 3 O Option 1 O…

A: Given  3 cos θ - sin θ = 2 We have to find the value of tan θ.

Q: 6) Let sin 0 - for n <0 < Find the exact value of: %3D 2. a) cos 0 b) tan 0

A:

Q: 1. Which of the following is the value of n so that a. 0 b. 1 tan tan"x cos³x dx = c. 2 d. 3 1 sin³x…

A:

Q: 7. Evaluate the following. a. cos b. tan-(-1)

A: To evaluate: a) cos-1-32 b) tan-1-1

Q: For all values of α for which the expression is defined, tan(2α)/cos^2(α)= ?

A: let  f(α)=tan2αcos2α

Q: 3 3. Find the value of cos(2x) given that sin x = -and x is in QII.

A:

Q: Let tan A = 12/5 with A in Q1. Find exact value for cos(2A)

A:

Q: 1. Calculate the approximate value of the sin with an approximation 5 of ɛ = 10³.

A:

Q: 34. If cos e Find tan O. 2. N/3

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Q: Find the period N of the sequence x(n) = cos 8 (*)) + sin sin 15 60 O 15 O 120

A:

Q: 12 Suppose that tan 0 =-· and 90°<0<180°. 5 Find the exact values of cos and tan 믐 cos Undefine 2…

A:

Q: 10 of 25 What is the exact value of cos ZQPR

A: In this question we will use basic of calculus i.e concept of cosine rule. We will write the formula…

Q: 6) Find the exact function value if it exists. a) Cos 240° = -0.5 %3D b) Cot 330° = sq-3

A: Answer and explanation is given below..

Q: 7. Consider the identity _2 tanr 1+tan z sin(2r). (a) Verify the identity. (b) Find sin (4) if tan…

A:

Q: 6. Suppose that < 0 < n and sin 0 = . Find the other 5 trigonometric functions evaluated at 0.

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Q: 1 Determine the values of e if Os0s2 given that tan 0 =

A:

Q: uppose that sin(a) = 2/8 and cos(b) =1/9 define in the first quadrant, determine cos(a-b). (round to…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: (7) Determine the exact value of cos 4

A: By trigonometry ratio ,we get

Q: 4. Prove the following identity: 1 - tan?a cos2a %3D sec?a Sin(420) b sin7d

A:

Q: Determine ZA to the nearest degree. [Hint 1] Cos A = 0.2398 Sin A = % Tan A= 2.7

A: (i) CosA=0.2398 A=cos^-1(0.2398) A=76.1252634° (ii) sinA= 3/3=1        A=sin^-1(1)        A=90°…

Q: 1. Find the exact value of cos 7x/12

A:

Q: 1 Find the exact value of cos(20) if sin(0) O 3 7 9. /3 3 1/9

A:

Q: The least positive number x for which cos x = 0 is

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Q: 2 /5 If cos(a) = - with π<α< compute the exact value of the following: 2 cos(2a)=| sin 2 tan 2

A: To find the required values we need to use the double angle formula and the half angle formulas.…

Q: 5. Which of the following quantities is undefined? (a) sin-'(-}) csc-"(}) (b) cos-'(2) (d) csc-'(2)

A:

Q: 4. Determine which of the following have the same graph: 1 -cos x a. b. - tan x, - cot.x sec x 2 .…

A: See the details solution in below

Q: (9) Verify the following (a) cos e + sin 0 tan e = sec e %3D

A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

Q: 5. Determine the exact value of sin 1l7 |. Include a clearly labelled diagram. [3 marks]

A:

Q: Find the value of cos-1(2) using Euler's formula.

A: We find cos-1(2) , by using Euler's formula.

Q: Suppose s is a real number such that sin s = - and cos s > 0. Find cos s

A: Given                     sin(s)=-35  and cos(s)&gt;0…

Q: 12. Verify the following trigonometric identities. tan (x) sin (2x) = 2 – 2 cos (x)

A: To verify the identity: tan(x)sin(2x)=2-2cos2(x) Solution: We know, tan(θ)=sin(θ)cos(θ)…

Q: /21 find the value of 5 3 - tan 0. cos 0 :15. Given that cos 0 =

A:

Q: 4) Evaluate the following 2 sin (x) 1+ cos (x)

A: Evaluate: ∫0π2sinx1+cosxdx

Q: Find the exact value of the expression whenever it is defined. a. cos( 2 sin-1(3/5)) b.  tan(2…

A: given: a cos2sin-135,b tan2tan-152 we know that cos2θ=1-2sin2θ…

Q: 8. Given that cos 0 = and 90° <0 < 180°, find each of the following. (e) tan

A: