13. sin acos a = sin acos a is not an identity. Which of the following values proves that this is not an identity? a = 0° b. а. с. a = 135° a = 90° d. a = 270°

Q: Use a ratio identity to find tan e given the following values. 3/13 2/13 e = sin 8 = and cos 13 13…

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Q: 7. Given that tan (A) = - and angle A is in 3rd quadrant and cos(B) = –; -and 13 %3D angle B is in…

A: Since, the student has mentioned to solve part (d) and part (e), so we are solving accordingly part…

Q: find the exact value of cos (a+b), if a,b in Quadrant IV with sin a= -3/5 and cos b= 5/13

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Q: Use fundamental identities to simplify. 4 – 4 sin? a +6 cos? æ cot2 x 2 – 4 cos? x 4 – 2 cos? x -…

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Q: If sin A = −√65 /65 with 180 ≤ A ≤ 270, find cosA/2

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Q: Which of the following equations is not an identity? Choose the correct answer below. O cot20+1=…

A: Which of the following is not an identity , tanθ=cosθsinθ It is not an identity, actual identity is…

Q: Verify the identity. 5 cos? ß – 5 sin? ß = 10 cos? B – 5 5 cos? ß – 5 sin? ß = 5 cos? ß – 5 (1 - = 5…

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Q: 2.If a = 9, b = 12, and c= 15, what are sin A, cos A, and tan A?

A: Given triangle isa=9 , b=12, c=15

Q: What are the values of cos a and tan a, if a is the measure of an acute angle in a right triangle…

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Q: Given the following: sin a = and < a <n and cos B = - and n *<p<플 %3D |

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Q: 4. If cos A = 5/7, then sin B = ? %3D O 7/5 O 5/7 O 2/7 89 2/7

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Q: 4. Use an appropriate half angle identity to find the exact value of cos15°.

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Q: 9. Given that cos 0 =, what is sin 20, if 0 <0 < /? 12 a. 16 25 25 24 25 25 b. d.

A: Given query is to find the value indicated trigonometric function.

Q: 119 Suppose that is an angle in quadrant 4 and that cos B 2 Compute the exact value of 169 %3D (2).…

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Q: if sin(A)=3/5 A is in QII and tan(B)=7/24 B is in Q3 then determine tan(A+B) and cot(A+B)

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Q: Given sin 0 = 2, where tan 0 < 0, determine the value of tan 20 O -24/7 24/25 O 24/7 O -24/25

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Q: If AC = 3 and BC = 2, find the following quantities. (E sin A, cos A, tan A sin A = cos A =

A: It is given that, ∆ABC is a right triangle with ∠C=90° If AC=3 and BC=2

Q: A. Find sin? and tan? if cos?=16/65, assuming that 0≤ ��� < ?/2 B. Find sin? , sec?, and cot?  if…

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Q: What are the values of cos a and tan a, if a is the measure of an acute angle in triangle and sin a…

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Q: If sin A lind cos 2A

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Q: cos(?/2−?)=10/11, find tan⁡(?)

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Q: Which of the following is equivalent to 4 cos? x + 8 sin? x +4 tan? x sin? x? O 4 tan? x -4 4 sec2 x…

A: Given 4cos2x+8sin2x+4tan2xsin2xThis can be written as 4cos2x+4sin2x+4sin2x+4tan2xsin2xWe know that…

Q: If sin A = 3/5 with A in QI and cos B = - 5/13 with B in QIII, find sin (A + B), cos (A + B), and…

A: Given: sinA=35, cosB=-513 here, A is in first quadrant and B is in third quadrant  we know that in…

Q: practice question, I attached a photo

A: Consider the given values of sin(θ) and cos(θ) as

Q: 5. When sin A = -– and A lies in Quadrant III and cos B = - Quadrant II, what is tan(A+ B)? - and B…

A: First find out the values of tanA and tanB than use the trigonometric formula of sum of angles and…

Q: B b

A: Trigonometry is the study of the relationship between the sides and angles of a right-angled…

Q: If sin O > 0 and tan O < 0, what is the sign of the value of sec O?

A: To find the sign value of secθ Given sinθ&gt;0 and tanθ&lt;0 Given below is the quadrant system of…

Q: If sin (2a) cos (a +30), what is the value of a ? O20 O 20 O 30 О 50 O 110

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Q: Given cos(x)- 글 " what is the value of cos(x +)? 0 O via - IN I 12

A: Given that cosx=12. We have to find the value of cosx+π.

Q: For a given angle a in 5,), we have sin a = . Determine cos x and tan oc exactly.

A: trigonometric ratio problem.

Q: 7. find the following RATIOS: 24 If tan 8 = Sin e = [ Select] %3D Cos 0 = [ Select ]

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Q: Given ∆ABC, sin A= , cos A = , tan A =

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Q: Find sin A, cos A, tan A, and sin B, cos B, and tan B in right triangle ABC, with C 5 90°given the…

A: Given: The right angle triangle, ABC with ∠C=90° and the sides b = 6 , c=7. To determine:  The…

Q: Evaluate sin? xcos xdx .

A: To evaluate: ∫sin2x cos3x dx=∫sin2x cos2x cos x dx=∫sin2x (1-sin2x) cos x dx

Q: If sin ZC AB= and AC = 15, what is the value of cos ZC AB? %3D O 1

A: Given Data: The length of the side  AC is: AC=15 The sine of the angle CAB is: sin∠CAB=35 The sine…

Q: Given tan A = -% and cos A < 0, determine sin A. O 4/5 O 3/5 O -3/5 O -4/5

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Q: If sin a- 4/5, what is cos B? O 5/4 O 3/5 O 4/5 O not enough information

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Q: If sin 8 is given and 8 E QII, find cos 6. 5 sin 8 = 26 cos e 8 =

A: sinθ=-526 By using the identity sin2θ+cos2θ=1, we get…

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: Find the exact value of the following under the given conditions:a. cos(α + β)   b. sin(α + β)   c.…

A: Given sinα=35 and sinβ=513, where α lies in quadrant I and β in quadrant II. In quadrant I, all…

Q: 1. Which is the value of sin? 51° + cos? 51°? undefined O 1 O -1

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Q: 12. Determine the correct simplification of the expression tan acos a+ cos a. a. sin? a b. cos a sin…

A: Given: tan2α cos2α+ cos2α

Q: 1. Determine an exact value for the following expression: sin COS IL + tan It cot 3 4 4

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Q: 119 Suppose that is an angle in quadrant 4 and that cos B 2 Compute the exact value of 169 sin 2 (4)…

A: Given, cosβ= -119169 β2  is an angle in quadrant 4We have to find the exact value of  sinβ2

Q: Suppose that sin A = 1/4 in quadrant 2 and sin B = - 1/3 in quadrant 3. Find cos (A + B

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Q: b) If sin e = 0.625 and cose = 0.500, determine, without using trigonotric tables or calculators,…

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Q: If sin A= , which of the following could be the value of tan A?

A: Given sin(A)=12   To Evaluate tan(A)=?

Q: What is the value of sin A if the value of tan A is 4/3? O 213 O 2/15 O 4/5 O 3/5

A: Given: tanA=43 Concept: Here we shall use the concept of forming a triangle by given values. We…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.