Verify the identity. cos X. cs C x= cot x To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step. cos X. csc x = cos X Apply the appropriate even-odd identity. Factor out the greatest common factor. Separate the quotient on the left side into two terms. Express in terms of sines and cosines.

Q: * (a) Using a trig identity, write æ(t) -5 cos(4t) – 4 sin(4t) using only one cosine function. |…

A: a Using a trig identity, to write xt=-5 cos4t-4 sin4t using only one cosine function.b Using a trig…

Q: Verify the identity. 1+ sin x 1- sin x (sec x+ tan x)² To verify the identity, start with the more…

A: Given: 1+sinx1-sinx = (secx + tanx)2  To find: Verify the identity.

Q: Verify the identity. cos e sec0 = CSc e sin 0 To verify the identity, start with the more…

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Q: Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a + B) under the following…

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Q: Hw 2    solving out the verification

A: Given:

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Q: Establish the identity. tan u cot u- ²u= sin²u cos Write the left side term cot u in term of tan u.…

A: In this question we have to solve the following trigonometry equation.

Q: Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a + B) under the following…

A:

Q: Verify the identity. cot 0 tan 0 = csc e sin e To verify the identity, start with the more…

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Q: Find the exact value of each of the following under the given conditions. sin a = 41' .0<a<: 4/65 ;…

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Q: Verify the identity. 2 sec e(1- sin? e) = 1 To verify the identity, start with the more complicated…

A:

Q: Jerify the identity. cos0 1- 1+ sin 0 sin 0 To verify the identity, start with the more complicated…

A:

Q: * (a) Using a trig identity, write ¤(t) = -5 cos(4t) – 4 sin(4t) using only one cosine function.…

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Q: Use the power-reducing formulas to rewrite the expression in terms of first powers of the cosines of…

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Q: Verify the identity. cos 0(1+ tan? e) = 1 To verify the identity, start with the more complicated…

A:

Q: Verify the identity. sec?t = cott+ tant tant To verify the identity, start with the more complicated…

A: 1) sec2ttan t=1+tan2ttan t(Apply a pythagorean identity)           =1tan t+tan2ttan t(Separate the…

Q: 5.3.51 Use the cosine of a sum and cosine of a difference identities to find cos (s+t) and cos…

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Q: Verify the identity. 1+ sin x 1- sin x (sec x + tan x)2 To verify the identity, start with the more…

A:

Q: Find the exact value of each of the following under the given conditions. 2/29 sin a ==, 0<a<5; cos…

A: Solution :

Q: Use a calculator. For 21-24, Use a calculator. For 17-20, round to the nearest tenth of a express…

A: We have to use scientific calculator to find the values of inverse trigonometric functions.

Q: Verify the identity. cost = csct- sint sint To verify the identity, start with the more complicated…

A: The given identity cos2tsin t=csc t-sin t

Q: Use the appropriate reciprocal identity to find the exact value of sin 0 for the given value of csc…

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Q: Establish the identity. (1- sin ? e) sec? 0=1 Rewrite the left side expression by expanding the…

A:

Q: Verify the identity. sin (a - B) = tan a- tan B cos a cos ß Write the left side numerator in terms…

A:

Q: Verify the identity. sin (a - B) = 1- cot a tan ß sin a cos B Write the left side numerator in terms…

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Q: Verify the identity. sin (a- B) = tan a- tan B os a cosB Write the left side numerator in terms of a…

A: Given that sin (α-β)cos α cos β=tan α-tan β We have to verify the given identity.

Q: Suppose that at any given time t (in seconds) the current i (in amperes) in an alternating current…

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Q: Verify the identity. sec 6(1- sin? e) = 1 3D1 To verify the identity, start with the more…

A:

Q: Establish the identity. cos 0. csc 0 = cot 0 Write the left side in terms of sine and cosine. cos 0.…

A: cosθ . csc θ = cotθ    We know cosθ = cosθ     and cscθ = 1sinθ     So, cosθ . cscθ = cosθ × 1sinθ…

Q: Find the algebraic expression that is equal to cos (180° – θ)

A: Find the algebraic expression that is equal to cos (180° – θ).

Q: Prove the identity sin (a + B) + sin (a-B) =2 sin a cos ß. To verify the identity, start with the…

A: Formula of sin(A+B) and sin(A-B)

Q: Prove the identity. 5 cos "0-5 sin *e=5 cos 20 To verify the identity, start with the left side and…

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Q: Venty the identity esC-Csxcosx sin x To verity the identity, start with the more complicated side…

A: Given: cosesx - cosesx·cos2x = sinx To verify: The given identity.

Q: Use the cosine of a sum and cosine of a difference identities to find cos (s + t) and cos (s- t). 4…

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Q: Find the exact value of the following expression. Write the answer as a single fraction. Do not use…

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Q: Verify the identity. cos x• csc x= cot x To verify the identity, start with the more complicated…

A: We have to verify the  equation

Q: Verify the identity. 1- cos x (csc x - cot x)? 1+ cos x To verify the identity, start with the more…

A:

Q: Use the cosine of a sum and cosine of a difference identities to find cos (s + t) and cos (s -t).…

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Q: Verify the identity. n2 tane 1+ sec 0+1 = sec 0 To verify the identity, start with the more…

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Q: cos 1- 1+ sin 0 = sin 0 To verify the identity, start with the more complicated side and transform…

A: topic - trigonometric ratios

Q: Multiply the numerator and denominator of the fraction by the conjugate of the denominator, and then…

A: Multiply the numerator and denominator of the fraction by the conjugate of the denominator, and then…

Q: Verify that the equation is an identity. 1 1 -2 sin x 1+ sin x 1- sin x cos To verify the identity,…

A: Given, 11+sinx-11-sinx=-2sinxcos2x We have to verify that the equation is an identity.

Q: Verify that the equation is an identity. 2 csc 1- cos x To verify the identity, rewrite the more…

A: We need to verify the following identity csc2x2 = 21-cosx…

Q: Verify that the equation is an identity. 1 1 2 1- sin x 1+ sin x cos x To verify the identity, start…

A: Verify the given equation

Q: Suppose that at any given time t (in seconds) the current i (in amperes) in an alternating current…

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Q: Find the exact value of each of the following under the given conditions. a. cos (a + B) b. sin (a +…

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Q: 2 A cos 1- 1+ sin 0 sin 0 To verify the identity, start with the more complicated side and transform…

A: Here we use pythagorean identiy Sin²x+cos²x=1

Q: Rewrite the expression as an algebraic expression in x. a)cos(sin−1(x))   b)tan(sin−1(x))

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Establish the identity. cos ? e(1+ tan? e) = 1 ..... Rewrite the left side expression by expanding…

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Q: Verify the identity. cos = sin e 1+ sin 0 To verify the identity, start with the more complicated…

A: We have to prove

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.