Show complete solution Given sin B = 5/13 in QII, find the exact value of the following: a. sin (2B)      b. cos (2B)    c. tan (2B)

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

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = 5/13, x in Quadrant I

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Q: Find the exact value of sin α = 4/5 , a lies in quadrant I, and sin α = 7/25, β lies in quadrant…

A: Given Using trigonometric identity Here, Similarly, Also, And

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A: asinθ=1215θ=sin-1(1215)θ=53.13ob)cosθ=915θ=cos-1(915)θ=53.13o

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A: We will find the exact value as following.

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Q: If cos(0) 1 and 0 is in the 3rd quadrant, find the exact value for sin(0). - -

A: By using Pythagoras theorem, We calculate the required trigonometric value.

Q: 1. Evaluate the value of sin (Arctan(-4/3) + Arccos(-5/13))

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Q: Given 0<0 < 2n, solve 2 tan@ + sin @ cos 8 = 0. O 0,"

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A: we know that…

Q: In a right triangle, sin(40 – x)° = cos(3x)°. What is %3D the value of x?

A: given :

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A: We know that the trigonometric identity , sin 2 (A)  + cos2 (A) = 1

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A: Given cos-1x + tan-1x = π2 we have the relationship tan-1x = cos-1 11+x2 Substituting the tan-1x =…

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A: topic -  trigonometry function

Q: Find the exact value of the expression. cos(sin": V+ cot-1 V3)

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Q: (a) Given that sin²+ cos²0= 1, show that 1 + tan²0= sec²0. (b) Solve, for 0≤ 0< 360°, the equation 2…

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Q: Find the exact value cos[(tan^-1(4/3)+cos^-1(5/13)]

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Q: 1. Determine an exact value for the following expression: л sin COS sec+tan 444 4

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Q: 1. If sin B = with B in QII, find CoS Write your solution on a separate sheet of paper.

A: Given that, sinB=15 Find the value of cosB2. Here we use the formulas: sin2x+cos2x=1cosx=2cos2x2-1

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Q: Determine an exact value for the expression and include a complete solution sin 150° cos 240° – cos…

A: We use Trigonometry formula sin(A+B) = sin(A)cos(B)-cos(A)sin(B)  sin(-x) = -sin(x)

Q: Зл then find exact value for (without solving for x) 2 If cot(x) = and A<x< a. sin(2x) b. sin

A: We know that: cot x=1tan xsin 2x=2tan x1+tan2xsin x2=±1-cosx2

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Q: Find exact values for sin 2/- using the information given. and tan (2) Cos 2

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Q: Suppose sin(x)=4/5 and x is in the interval [pi/2, pi]. Then solve for cos(x) and tan(x)? (Your…

A: Consider the following formula: sin2x+cos2x=1 Substitute sinx=45 in the above formula:…

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Q: Solve for tan(A-B) if Sin(A)=4/5 and A is in Q1 and if Cos(B)=-7/25 and is in Q3

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