Given that (1-cos(theta))/2=0.7, find cos^2(theta/2)

Q: Sinxtsina3x COSX+ COS 32 tan 22

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Q: if sinx+cosx=1/2,what is the exact value of sin2x

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Q: If sinx−cosx=0, then what is the value of sin^4x+cos^4x?

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Q: Verify the identity : 1-cosx sinx = 2 csc x sinx 1– COsx 2.

A: Given- 1-cosxsinx+sinx1-cosx=2cscx To verify- The above identity. Identity Used- sin2x=1-cos2x

Q: Find the value →21. csc (sec- 2) + cos (tan¬1 (– V3))

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Q: (sing -Cosx)=1-Sinx COSX 2.

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Q: [sin³ 4x cos 4xdx

A: We can find the answer as below.

Q: Find SinZx, Lo52x, Tan2x Cosxニーニ 3. and X terminates in quadrant 2 Sin2x = Cos 2x = tan 2x =

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Q: ( Find all degrae solutims to Cos x- 2sinx Cosx20 Give all ansuersas exat values in radian.

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Q: If you need to review them, here is a link to the DQ Instructions. Show and briefly explain your…

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Q: If sin(2x) = cos(x+30"), what is tbe value of x?

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Q: Find the first derivative: y = 3 arcsin(cos 2x) O -7 О-5 O-4 O-3

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Q: If sin of theta = 0.2774, find cos of theta. Round to four decimal places.

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Q: If sine = -7/25 and rt < 0 < 3Tt/2, find tane. %3D

A: Given that sinθ = -725 and π&lt;θ&lt;3π2 We need to find tanθ = ? First, we need to find θ from sinθ…

Q: 3. If cos x = -, find sin(2x) given sin x < 0. -3 O O

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Q: Find the exact value of the expression whenever it is defined.

A: Given, cossin-11517-sin-1817 now find value of the expression we know, sin-11517=cos-1817…

Q: Evaluate (cos - siną)² without using the calculator.

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Q: Compute without using a calculator.

A: To evaluate: sin-1sin-5π6 Solution: We know that, sin-x=-sinx and sin-1-x=-sin-1x Evaluating the…

Q: Find the exact value of sin195o

A: Find the exact value:

Q: Express sin6 Oin terms of powers of sin Oonly

A: We have given,  sin6θ we have to express it in the term of sin only.

Q: if sin= -2/3 find csc ?.

A: We have to find value

Q: Compute without using a calculator.

A: Given: sin-1sinπ3 we know that  if, -π2≤θ≤π2 then , sin-1sinθ=θ

Q: If sinX = -1/3 and cosX is positive, determine the exact value of cotX.

A: We know, cosx= ±√(1-sin2x) cotx= cosx/sinx

Q: cotx (1- cos 2x) = sin 2x

A: Formulae used: 2sinx cosx = sin2x cotx = cosxsinx cos2x = 1-sin2x

Q: السؤال 4 lun cos (플ev)-

A: We have to choose the correct answer

Q: IF 3 TANQ = 3SINQ FIND THE VALUE OF SIN²Q - COS²Q.

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Q: 3. Evaluate without using 1 calculators: cos sin- 13 -1 Cos 5 -

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Q: explain why sin(0)=cos(90-0)

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Q: 1-cosx sinx

A: Using Trigonometry property,

Q: Find given - cosx sinz

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Q: How many solutions on the interval [0, 2020π] does the equation 1/2 sin2x + 1 = sinx + cosx have?

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Q: sin2x+cos2 for x = 55 degrees.

A: Apply trigonometric identity cosA=sinπ2-A to rewrite the expression. sin2x+cos2x=sin2x+sinπ2-2x…

Q: Evaluate: " sin' (-) Cos3 dx

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Q: 5) [ Arc sin- xdx

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

Q: S(sec; - sin) do

A: We know that integration power rule is  Integration of (xn) = xn+1/n+1.   Here i attached the…

Q: The expression (1 -sinx) / (cosx) is equal to

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Q: Solve cos ( tanx) = sin cot! 3 4

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Q: What is the exact value of cos (tan ¹(-1)) 2 -? sin cos 08-¹(- +/-))

A: We have to find the exact value of costan-1-1sincos-1-32.

Q: cos 2x cotx-1 1+sin 2x cotx+1 20

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Q: cos 2x sin2x Cotx

A: Solution: The objective is to find the value of the given expression

Q: Determine the values of θ if 0 ≤ θ ≤ 2π given that cosx = − 0.3178. Explain the process.

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Q: Explain the meaning of = arc sin(0.5)

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Q: If 16(sinx) + 16(cosx)2 10 then x-.. %3D

A: Given that 16(sin x)2+16(cos x)2=10. That is 16sin2x+16cos2x=10. We have to find x value.

Q: Can Cot(2 arccos x) be simplified?

A: The given expression is  cot(2arccosx)

Q: if sinx=1/8 and x is in quadrent 1, then cos(180-x)=???

A: Simplify cos(180-x),

Q: solve, sin(4x)cos(6x)-cos(4x)sin(6x)=-0.35 x=??

A: solve, sin(4x)cos(6x)-cos(4x)sin(6x)=-0.35

Q: 1 - 2 cos²(x) + cos“(x)

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Q: Write sin 5x cos 9x as a sum or difference. Express your answer with even/odd properties applied.

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Q: What is the greatest possible value for the product of 2-sinx and 3 + cos5x

A: (2-sin(x))(3 + cos(5x)) =6-3sin(x)+2cos(5x)-sin(x)cos(5x)

Q: Ok, I see how sinx derives to cosx using that formula sin^2x + cos^2x = 1, thx it helps

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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.