Use the Pythagorean Theorem to label the sides of the right triangle pictured to the left given that sin 0 = x. CHBE Hint: Remember you can write x as the fraction . Use the information from the labelled right triangle to find the values of each of the trig functions in the table. sin(e) X cos (e) tan (8) sec(e) csc(e) cot(8)

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A: Explanation of the answer is as follows

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A: Given expression is cot2y+1siny To show: The given expression in terms of siny

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A: Trigonometric proof

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A: We can find the value of x as below

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A: Tan(A+B) =[Tan(A) +Tan(B) ]/1-Tan(A) Tan(B)

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A: Given: To prove that cos2x-sin2x=1-2sin2x

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Q: sin?x- cos?x=2 sin²x-1 Note that each Statement must be based on a Rule chosen from the Rule menu.…

A: sin2x -cos2x = 2sin2x -1

Q: 40 a lies in quadrant I, and sin(B) = 24 sin(a) = B lies in quadrant II, 25 41

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Q: Use the graph of y = sin x to find all values of x, 0 s x S 2n, for which the following is true.…

A: Given y= sinx , 0≤x≤2π sinx = 1

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A: The objective is to approximate the given equations

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A: The given sinθ=25, tanθ&gt;0 . We have to find the values of cos2θ and sin2θ

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A: Authoring guidelines:…

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Q: Given rhat deri ve formula cos (A+B) = COSA COSB COSCA -B) Sina sinB, for Sin (A+B) (Henr:…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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A: Given that

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A: We have to find value of given trignometric function.Question is given below:

Q: If sin A = where 0 < A < and cos B = where <B< 2n, fnd the exact, simplified value of Cos (A - B).…

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Q: photo attached

A: The given identity is

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Q: If cos X = 0.4, and X is in Quadrant IV, then what is the value of sin X? O-J0.84 O 0.6 V0.84 -0.6

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Q: Given: cosa= -, sin x = - 12, e is in the third quadrant, and x is in the fourth quadrant; evaluate…

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Q: 4. In right triangle ABC, mz B # mLA. Let sin B = t and cos B = h. Write the expression that…

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Q: Find the value of each trigonometric ratio. Write your answer as a decimal rounded to the nearest…

A: a)tan C= ABBC           =2432            = 34            = 0.75

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A: Need to find the value of secA. Given information: From the given figure, AC=10,AB=26,BC=24,…

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Q: 15. Find the exact value of sec [arctan (-)]. You must show the triangle that you have used, and do…

A: Given: sectan-1-35 Let y=tan-1-35 Firstly solve the tany=-35 We know that  tanθ=PerpendicularBase…

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Q: Use the given information to find (a) sin (s + t), (b) tan (s + t), and (c) the quadrant of s +t. 15…

A: sins+t=7785tans+t=7736 s+t is in 1st quadrant

Q: Given sin(a)= and a is in quadrant II and sin(3) = and B is in quadrant II. Use sum and difference…

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Q: Given sin(a) where a lies on quadrant I and cos(B) 1 where B lies on quadrant II. Find the %3D exact…

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Q: Use double angle identities to find values of the sine and cosine functions for each angle. (a) 28,…

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Q: Given cot 0 some value x, which of the following correctly shows how to use a calculator to…

A: given that cot(θ) = x; using trigonometric function, we know that    cot(θ) = 1tan(θ)

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Q: Use the information given below to find sin (a-B). 5 with a in quadrant II 13 cos a = 12 with B in…

A: Given, sin(β)=-513 with α in quadrant Icos(α)=1213 with β in quadrant II

Q: Given 0 = find the exact value of the following: 4 ' sin(0) = cos(0) = %3D tan(0) = %3D sec(0) = %3D…

A: Put value in function

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.