Prove that secx- - sinxtanx = coSx

Q: solve the following equation for all values between [0, 2pi). tan x = square root 3

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Q: If sin θ = 3.5x and cos θ = 5.5x, find x

A: sinθ=3.5xcosθ=5.5xDivide above equations.

Q: Find the exact value of the expression tan π/6 cos π/3 - cos π/2. Do not use a calculator.

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Q: If sin θ = -0.9, find the value of sin θ + sin (θ + 2!) + sin (θ + 4)

A: Given: sinθ=-0.9 ,sinθ+sinθ+2!+sinθ+4

Q: give exact value of expression without calculator sin(2tan to the negative 1 power (-5/12))  solve…

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Q: sin(2 tan(5)

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Q: If 90∘<θ<180∘ and sin⁡θ=2/7, find cos⁡2θ.

A: If 90∘&lt;θ&lt;180∘ and sin⁡θ=2/7, find cos⁡2θ.

Q: Find all solutions in radians using exact values only: sin2(8 x) = 1

A: We have to find all the solutions in radian for the expression sin28x=1

Q: Verify the identity. (Simplify at each step.) 2 cos² B - 2 sin² ß = 2-4 sin² B 2 cos² B-2 sin² B =…

A: The given identity, 2cos2β-2sin2β=2-4sin2β

Q: If the Tan X= -1 and the Cos X < 0, find the Sin X.

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Q: Please explain why the equation  sin?=−2sin⁡θ=−2 has no solutions.

A: We have to explain about the solution

Q: Use sum or difference identities to find the general solution for the equation. Show all step cos 5x…

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Q: Find the exact value of the expression. Do not use a calculator.

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Q: 9. Find the exact value of the expression. Do not use a calculator. sin [tan (1)]

A: In the question it is asked to find exact value of expression of sin[tan-1(1)]. Also it is asked to…

Q: What quadrants do the solutions to 2 sin(x) + sqrt3 = 0 lie in?

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Q: if sin=-5/13, and cos<0, what is tangent and decent?

A: Given: sinθ=-513, cosθ&lt;0 To determine: tanθ, secθ.

Q: If x is an acute angle sinx = cosx. Find the value of 2tan2x + sin2 x - 1

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Q: Given 0 <0 < 27, explain how to solve the equation tan 0- sec0 = 3. Identify | the solutions and…

A: I am going to find the solution of the given problem by simplifying it and then verify the obtained…

Q: Find (sin 0 + cos 0)2 if the point (8, -6) lies on the terminal side of the angle 0 in standard…

A: Given: Point (8, -6) lies on the terminal side of the angle θ

Q: From sin(30) 5, solve for 30 on the interval [0, 27). (Enter your answers as a comma-separated…

A: solution is given below..

Q: cos^2(2x) - sin^2(2x)=0. Is it a identity and how can you tell.

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Q: degree

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Q: Solve 2 cos (x) – 7 cos(x) + 5 = 0 for all solutions. where Select an answer Give your answer as an…

A: Given:     2cos2x-7cosx+5 = 0     2cos2x-2cosx-5cosx+5 = 0      2cosx(cosx-1)-5(cosx-1) = 0…

Q: In order, arrange the solutions from step#1 until final answer to evaluate the ∫sin^4 2xdx

A: Integration means addition it is used for adding continuous function which can't be added by simple…

Q: If tanθ< 0, and sinθ = -7/9, find the exact value of secθ.

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Q: Find the exact value of the expression.Do not use a calculator.

A: Given expression: cos2tan-1-43

Q: The equation sinx=sin2x has exactly two solutions in the interval [0,2π].   True False

A: Given equation is: sin(x)=sin(2x)

Q: 4. COs 195°

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Q: - If tan0=3/2 , find the value of sece and sin® without using table.

A: It is given that, tanθ=32 Definition of tangent ration is length of the side opposite of angle theta…

Q: Find the exact value of the expression sin π/6 + tan2 π/3. Do not use a calculator.

A: Given expression is sinπ6+tan2π3.

Q: If 3 tane=3 sine, find the value of sin e - cos 0.

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Q: What is the value of sin 0, if tan 0 =-and csc 0 < 0?

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Q: sin(x) = 1/8 and x is in quadrant I, find the exact values of the expressions without solving for x.…

A: Explanation and solutions is given below....

Q: Without using your calculator, find the exact valueof the expression.Show all your…

A: Given that sin[2arctan(-12/5)] find the value of this ,we use trigonometry ratio and know that : Sin…

Q: If sin (x) = 5/13 & cos (x) < 0, find the value of tan (x

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Q: Find all solutions of the equation 5 sin θ + 1 = 3 sin θ.

A: 5sinθ+1=3sinθ

Q: If tan(x)=12/11(in Quadrant-I), find cos(2x)=

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Q: If sin θ=0.833, find θ, writing your answer to the nearest degree

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Q: 1. Amna needs to decide if the equation sin² 0 = 1- cos 0 is an identity. Choose 3 possible 1+cos e…

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

Q: if sin=-5/13, and cos<0, what's tan=? and sec=?

A: Given, sinx=-513 We know that, sin2θ+cos2θ=1⇒cos2θ=1-sin2θ Here,…

Q: 3sino – 4sin³0 = sin(30)

A: we have to prove the formula.

Q: 3) 3. sin ( tan 4. cot(csc (-3))

A: I am going to solve the given problem by using some simple trigonometry to get the required result…

Q: If roots of equation 3x² + 5x + 1 = 0 are (sec6 (cosec0₂ - cot0₂), then find the equation wh (sec₁ +…

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Q: Find value of sin 2°/2°, tan5°/5° and sin 4°/4  . Please make sure its correct.

A: Let's find value.

Q: (i) Find all sin 20=sec0 the values of 0, 05052 for which

A: Proceed as shown below...

Q: If 0∘<θ<90∘ or 180∘<θ<270∘, explain why sin⁡2θ is always positive.

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Q: What is the result if we solve for the value of 2 tan 30°?

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Q: sec θ = 13/12 and θ between 3 π/2 and 2 π, find exact values in reduced form for: tan θ: sin(2 θ):…

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Q: If 0 then 3 || sin(0) = cos(0) = Give exact values. No decimals allowed!

A: Please refer the attached image for complete solution.

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.