Determine whether the equation is an identity. If it is, explain how. (sinx + cosx)^2 = 1

Q: Verify the identity. cos²t sint =csct- sint

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Q: Perform the indicated operations and simplify 1 /1+ cosx + 1 /1- cosx

A: Given expression is 11+cos(x)+11-cos(x) taking the LCM of the given expression , we get

Q: Simplify the equation: coshx - sinhx

A:

Q: Evaluate the expression without using a calculator and write your answer in radians. sin-11 (주)- rad

A:

Q: Simplify (sinθ + cosθtanθ)/(cosθ)

A: Our Aim is to simplify the trigonometric function given below:-sin θ+cos θtan θcos θ-(i)

Q: Evaluate the expression without using a calculator and write your answer in radians.…

A: Given expression is sin-132 Simplifying the given expression: sin-132=sin-1sinπ3=π3=3.143=1.04…

Q: simplify and write the trig expression in terms of sine and cosine: (2+tan2x/sec2x) -1 = (f(x))2…

A: The given trigonometric function is fx2=2+tan2xsec2x-1.    To find the value of fx.    The value of…

Q: 7. (sinx + cosx)²

A: (sinx+cosx)2 We know that ,(a+b)2=a2+2ab+b2Therefore (sinx+cosx)2=sin2x+2sinx.cosx+cos2xBut…

Q: without

A: Sine function is negative in 3rd and 4th quadrant. Sin(π+x)=Sin(2π-x)=-Sinx

Q: sin120o = ..............,cos240 o =...................

A:

Q: Rewrite in terms of sine and cosine functions: tan 0 • csc 0.

A: Given expression is tanθ·cscθ. To rewrite in terms of sine and cosine functions. Solution: We know…

Q: Write 9 sinh(x) + 4 cosh(x) in terms of e and eX.

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Q: Write ( tan(x) + sec(x)) ( sin( x) - 1) in terms of sine and cosine.

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Q: Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the…

A: Write csc x= 1/sin x using reciprocal property.

Q: Write an algebraic expression that is equivalent to the given expression. cos(arcsin(3x))

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Q: show your work step by step and, Verify the identities. cosx+sinx tanx = secx

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Q: Simplify sin(arctan(x/5)).

A: Given:

Q: Find all radian solutions sin2x = cosx

A: Follow the procedure given below.

Q: Verify that the equation is an identity by manipulating each side of the equation sinx cscx - 1…

A: Given : The equation is sin x 1 + sin x  =cosec x - 1cot2 x  .

Q: Solve the inverse Trigonometric Equation using an Identity    arcsin x - arccos x = π/6

A:

Q: Write an algebraic expression that is equivalent to the given expression. cos(arcsin(4x))

A: Given expression, cos(arcsin (4x))

Q: . Use an identity to explain how to find the value of sin (0+ 90°)

A:

Q: Write the trigonometric expression as an algebraic expression. sin(arctan 3x – arccos x) -

A: Given Expression, sin[arctan(3x) - arccos(x)] Now assume, arctan(3x)= y  => tan(y) = 3x and…

Q: Solve for all possible values in radians.

A:

Q: Write an algebraic expression that is equivalent to the given expression. cos( arcsin() x- h |

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Q: Use an identity to explain how to find the value of sin (0 + 90°).

A: To find: The value of sinθ+90°. Formula used: Trigonometry identity: sinA+B=sinA·cos B+sin B·cos A…

Q: Sinx+X CoSX+toX

A: Answer

Q: Prove the identity: tanx+ cosx = secx 1+sinx

A: Solution

Q: write the expression in terms of sine and cosine sinx + cot x cos x = 1/f(x

A:

Q: solve x by using the law of cosine

A: We have been given the measurements of the right-angled triangle and the measurement of an angle and…

Q: Perform the indicated operation and use the fundamenta l identities to Simplify: COSX 一+ Sinx +-…

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Q: sinx Cosxdx

A:

Q: ) Verify algebraically that the equation is an identity. Use a Reciprocal Identity to rewrite the…

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Q: Write sin(4x)-sin(5x) as a product of trigonometric functions.

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Q: Which of the expressions below are equivalent? Which are not? Explain. i. sin '(x) ii. csc(x) iii.…

A: It is known that sin-1x can also be written as arcsinx.

Q: Determine whether the equation is an identity. If it is an identity, prove it.   tan2 x = sec2 x +…

A:

Q: Write cos* x as an expression in the first power of cosine

A: Given,                    cos4x=?

Q: (블짜) 11 arcsin ( sin 3

A: 11π3=4π-π3

Q: Use the power reducing formulas to rewrite Sin'x cosʻx in terms of the first power of cosine X,…

A: We use the formula 2cos2(a) = 1+cos(2a) 2sin2(a) = 1- cos(2a)

Q: find the exact value of each expression. Rememberthat sin-1x and arcsin x are the same function,…

A: We have to find the value of the expression arcsin-12.

Q: verify that the equation is an identity  sinx-cosx/sinx+cosx = 1-2sinxcosx/1-2cos^2x

A: The given equation of trigonometry  is

Q: Simplify Cosx+sinxtanx

A: Given that: cosx+sinx.tanx

Q: Simplify: 1+ cos 2x. 2 cot2 x

A:

Q: COSX secx

A: We have been given the trigonometric equation                       cosxsecxsinx…

Q: Complete the proof of the identity by choosing the Rule that justifies each step. cscx= tanx secx

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Q: wer as a sinc

A:

Q: 2- Rang of : cosx – sinx

A: Given the function to find range is cosx-sinx. First we consider it as a cosx - b sinx To find the…

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.)

A: Our Aim is to verify the identity by converting the left side into sinesand cosines.5 sec (x)- 5 cos…

Q: Use an identity to explain how to find the value of sin (0+90°).

A:

Q: sin0=4,find tan O

A: Here given that sinθ=47. We have to find the value of tanθ.