"III. Find the value of the expression. 12.) csc 300• cos 60 sec 150° · sin 120°

Q: Q: If a cose - b sin 0 = c, Prove that a sin e + b cos e =+Va?+ b² – c² .

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Q: What is the equivalent of the given expression in terms of sin y? * cot²y + 1 sin y

A: Given expression is cot2y+1siny To show: The given expression in terms of siny

Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: We need to solve differentiation problem.

Q: 1+cos(2y) ? sin(2y) Which trigonometric expression is equal to O csc(y) cot(y) O tan(y) no correct…

A: topic - trigonometric identities The given expression is 1+cos2ysin2y to find the which…

Q: 4. In right triangle ABC, mz B # mLA. Let sin B =tand cos B = h. Write the expression that…

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Q: ngles A and B are located in the first quadrant. If sin A = lue of cos(A + B). 5 and cos B = 13 3…

A: Given query is to find the value fo indicated angle.

Q: 4. Explain the steps in verifying that the following equation is an identity. sec sin a sin r cos a…

A: Given equation: secxsinx-sinxcosx=cotx

Q: -5 c) Given sec 0 = 4 cos? 0 = ? tan? 0 = ? sec (-0) = ?

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Q: 2) Simplify the expression: (sec?0 — 1)cos?ө

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Q: Does this equation hold? eir + e¯iz cos(x) 2

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Q: Suppose that cos B = 0.68. What is the value of sin(æ)? %3D

A: Given cos β =0.68

Q: 3 8. If sin e = - - and the terminal side of e lies in quadrant III, find cos e. 5 3 3

A: Topic  = Trigonometric ratios

Q: 19. The expression al was simplified as follows. 1+cotz tana 1+cotz 李 - cot? z %3D csc sin Explain…

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Q: Look at triangle MNQ. 71 15 58° What is the value of x, to the neares tenth? 9. Triangle AZT is an…

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Q: a. Let cosx = (-) and cos x lies below the x axis. 2+0 Find sin(2x), cos(2x) and tan(2x). b. Proof…

A: In case of first question we find the solution of X. Then find the other expression.

Q: 12. y' = cos?x cosy %3D

A: Given differential equation is: y'=cos2 x·cos y Then we get, dydx=cos2 x·cos y Therefore the order…

Q: csc? a + sec? æ 1 cos x sin z

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Q: What is the exact value of cos (tan¬'m) where m = :? 12 Provide your answer below:

A: if m=512 To find: the value of costan-1mSolution :let…

Q: 1 simplifies to which of The expression che following? (a) 2 cos² 0 (b) 2 sec? e (c) 2 sin? 0 (d) 2…

A: Let the given expression be y - y = 11-sinθ+11+sinθy = 1×1+sinθ+1×1-sinθ1-sinθ1+sinθy =…

Q: 17) sin? 0(2 sec? 0+3csc? e) csc? 0 - cot? 0 + sin? 0 18) 1- cos? 0 cos? 0- sin? 0 19) 20)…

A: 17) Identities to be used to simplify the above expression are, Now simplify the given expression.…

Q: A3.-- LA = a/b * O cos cot sin sec tan

A: As per the instruction, we will be answering only the first question. For (3), Given:

Q: The value of the expression cos r- tan z-2 + sin z + sec is

A: sin2x+cos2x=1 sec2x-tan2x=1

Q: What is one possible value of x that satisfies the equation cot x = cos x? - 4 T

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Q: 2. Which is the value of sin2 51° + cos? 51°? COS

A: We know that the trigonometric identity , sin 2 (A)  + cos2 (A) = 1

Q: ind the exact value of the expression. sec(sin−1(5/13))

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Q: 19. An equivalent expression for sin 0 cot 0 is sec 0 tan 0 O cos 0 O sin e

A: Here we have to find the equivalent expression for the given expression sinθcotθ

Q: What is the value of* csc(65 + 0) – sec(25 – 0) + tan? 20 – csc? 70 ? A. 1 OBO B. 0 C.-1 D. 2

A: The objective of the question is determine the value of the trigonometry and choose the correct…

Q: -4 b) Given cos 0 = sin? 0 = ? tan? 0 = ? cos (-0) =?

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Q: The diagram below represents the surface of a shelf. 18 in. Which expression could be used to…

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Q: 3. Use the diagram below to complete the table. y 3 х (A Coordinates of A sin 3 cos 4 tan 3

A: Given angle lies in the 3rd Quadrant

Q: The expression tan 0 sec 0 when written in terms of sin 0 is sin? 0 sin e b. cos? 0 sin e cos e 1-…

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Q: 14. The expression tan 1 was simplified as follows. 1+cot' tan' z+1 Itcot° # Ree cac e cos sinz cot?…

A: The error is in the third step. 1/(Sec square x) is not equal to sin square x. It is equal to cos…

Q: (). cos) and tan) from the given information. Find sin COS 2 2 2 sec(x) = , 270° < x < 360° 5

A: Given: secx=65, 270∘&lt;x&lt;360∘ we know that if, 270∘&lt;x&lt;360∘ then 135∘&lt;x2&lt;180∘ which,…

Q: Evaluate the expression under the given conditions. 2/5 sin(e + 4); sin e = e in Quadrant I, cos p…

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Q: 5 and cos a= 13 If sin a 12 , what is the value of sec a + )? 13 O 17/2 26 O 7/2 26 O 13/2 17 O 13…

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Q: 4. In right triangle ABC, mz B # mLA. Let sin B = t and cos B = h. Write the expression that…

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Q: 5. Simplify the expression cos" a–1 sin a-1 sec? a O - sec? æ O tan? x O - tan? z

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Q: 2. cot 20 = Csc8- 2 sin e 2 cos 0

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Q: 3sin e = 2 and cos e LO, with the aid of determine the value of tan e b. Sine cose ċo Sin?o + cos?e

A: Given: sinθ=23, cosθ&lt;0 We know that value of sine function is positive and cosine function is…

Q: sin a cos a + sec a 53. sec? a — tan? а csc a

A: To verify the identity

Q: 7 If Sin A = . Cos B = where A, BE]0,[ then 25 find the value of Sin (A+B), Cos (A-B)

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Q: 15. Explain the steps in verifying that the following equation is an identity. sec a sin e sin a cot…

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Q: 12 Given: tan(0) = =, find cos(0). %3D 12 12 а. /2 12 b. 2 С. 2 d. Answer Unavailable

A: Given :tanθ = 1212 = 1Therefore,θ = tan-11θ =π4               (Since we Know that tanπ4 = 1 )Now we…

Q: 5. (a) 2e' sin? (b) e cos ?1

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Q: Perform the indicated operation and simplify the result. 1 1 csc?e csc *0 2, sec-0 1 What does 1…

A: Given query is to simplify the trigonometric expression.

Q: 30. For Exercises 27–32, find the exact value for the expression under the given conditions.

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Q: 5. Determine the value of sin(arctan(3)+arctan(2)) using the trig identity sin(A+B) = sin(A) cos(B)+…

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Q: 3. Determine the corresponding reciprocal ratio that corresponds to cos e= 0.8. а. sec e= с. sec e=…

A: 3) Given: cosθ=0.8 To find: The corresponding reciprocal ratio that corresponds to cosθ=0.8.