Prove the trigonometric identity: () = 2 csc2 1 - cos 0

Q: Verify that the equation is an identity. cot 0 cos 0 cos 0 81. cot 0 - cos 0 1- sin 0

A: Since you are asking multiple questions. We are answering only the very first question as per our…

Q: prove the identity of sin(pi/2+)=cosx

A: We know the identity,

Q: Find the exact value of each of the remaining trigonometric functions of θ .

A: The cosine function is negative for argument in the second and third quadrant. The sine function is…

Q: Find the exact value of cos by using a sum or difference formula. 12

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Q: 3. X Cos X dx COS

A: On solving this we will get

Q: Use the formula for the cosine of the difference of two angles to verify the identity.

A: To prove: cosx-5π4=-22cosx+sinx

Q: 2) Use double-angle formulas to help you prove the identity below. sin (20) 1+ cos (20) tan 0

A: The main objective of the question is to prove RHS = LHS by using double angle formula.

Q: complete the identity using the triangle method cos(tan-1(x))

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Q: Verify the identity. sin(8) 1 - cos(8) cot(0) + csc(0)

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Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: In right angle trianlge as shown in fig. PerpendicularHypotenuse = sin θBaseHypotenuse = cos…

Q: (15) sin 105° (16) cos 75° (17) sin- 12 п (18) cos- 8

A: 15) The value of sin105° can be calculated as,    cos210°=1-2sin2105…

Q: the identity.  1+cos?= Sin2 ?/ 1-

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Q: 1 14. cos 2. sin20 csc0 = 4

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Q: Use De Moivre’s Theorem to express the trigonometric functions in terms of cos u and sin u. cos 4θ

A: GIVEN  by using De Moivre’s Theorem we need to express the trigonometric functions in terms of cos u…

Q: prove the identity.  1+Cos?= Sin2?/ 1-Cos?

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Q: Give the signs of the trigonometric functions. 17) cos (523°) and tan (523°) A) + and - B) - and +…

A: First try to see the degree as the multiple of 90 and then see for the quadrant. The step by step…

Q: Use trigonometric identities to solve cos(2θ)−cos(θ)=0 exactly for 0∘≤θ<360∘

A: Given equation,

Q: What is the exact value of sin (157.5°) using the half-angle identities? O v2-V2 O 2+v2 2-V2

A: We have to find the value of sin157.5°

Q: Complete the identity using the triangle method (a) cos(tan^−1(x)) = (b) sin(sec^−1(x))= a)=…

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Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: We know the standard identity: sin2A + cos2A = 1   To show: sinθ/2cscθ/2 + cosθ/2secθ/2  =  1

Q: Verify the identity. sin 20 cot0 1- cos 20

A: To prove the given identity

Q: Which of the following products of trigonometric functions of different frequencies is equivalent to…

A: This is a problem of identity and counting and frequencies.

Q: verify the trigonometric identity: cos x csc x/cot^2 x=tan x.  show adequate steps for me to follow

A: Given,           cosxcscxcot2x=tanx

Q: Find the exact value by using a sum or difference identity. sin 105° cos 75°

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Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: We have to verify the identity: cot θ+cosec θtan θ-sin θ=sec θ-cos θ We know that tan θ=sin θcos…

Q: Verify the identity by transforming the left side of the equation into the right side. csc 0– sin 0…

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Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: To verify the equation, cos θ(tan θ+ cot θ)=csc θ,  simplifying the left-hand side expression, cos…

Q: Use a ratio identity to find tan theta if cos theta =2/3 and sin theta = 5/3     5/2

A: Given that, cosθ=23sinθ=53

Q: Use a trigonometric identity/formula to simplify the expression. sin (z+)

A: Use the appropriate trigonometric identities of complementary angle.

Q: Verify that the equation is an identity. 1+ cos 0 Show that (csc0+ cot0)3D 1- cos 0

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Q: Use the even-odd and periodic properties of the trigonometric functions to simplify. 5 cos 3t+5 cos…

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

A: topic - trigonometric ratios

Q: 14) Use an appropriate trigonometric identity to find the exact value of the expression sin(75°).

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Q: Using the trigonometric identities given in the lecture notes, prove the following (---) + co (5 +…

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Q: Establish the identity. (a cos 0+b sin 0) + (a sin 0-b cos 0) = a? +b? ..... Square each term on the…

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Q: Use fundamental identities to find the values of the trigonometric functions for the given…

A: Given cosθ=12,and sinθ<0 We know: sin2θ+cos2θ=1⇒sinθ=±1-cos2θSubstituting,cosθ=12,we get sinθ…

Q: 13. Prove the following trigonometric identity until LS = RS. / sec20-tan20 = csc 0 sin20 csc 0

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Q: Use basic identities to simplify sin r + cos2 a sin a.

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Q: Use an identity to write the expression as a single trigonometric function or as a single number.…

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Q: Verify the identity: (1 + cos θ)/sin θ = csc θ + cot θ.

A: Verify the identity.

Q: Find the value of the trigonometric function: cos (-π/4).

A: Given:cos-π4

Q: Find the right part of the identity. secβ-cosβ=

A: Given,  secβ-cosβ   We have to find the right part of the identity.

Q: Use the result (cos θ + i sin θ) 2 = cos 2θ + i sin 2θ to find trigonometric identities for cos 2θ…

A: The given result is: cos θ+i sin θ2=cos(2θ)+i sin(2θ)

Q: Write the first trigonometric function in terms of the second for 0 in the given quadrant. cos(0),…

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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.