If cos 20 cos 40 + sin 20 sin 40 and 20 is in QIV 8 then cot 20. is equal to -5 39 V39 V39 V39

Q: Suppose 80 € [7, 27] and cos 80 find the value of cos 40, csc 40, and cot 40.

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Q: Use a sum or difference formula to find the exact value of the following. 2л Cos 15 2л sin 15 CoS 5…

A: Given,         cosπ5cos2π15-sinπ5sin2π15We know that,         cosA+B=cosAcosB-sinAsinB

Q: 7. Which of the following is equal to cos 108°? A. sin 198° B. cos 198° C. sin 72° D. cos 72°

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Q: If 0°<θ<90° and sin⁡θ=12/13, find cos⁡θ using trigonometric identities. 12/13 5/13 12/5 5/12

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Q: 0= -25pi/6, then what is sin(0)= and cos(0)=

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Q: _ [6 ( cos 120° + i sin 120°) ] _ cos 30° + i sin 30°)] [2(cos _(cos________+ i sin____________)

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Q: If θ= −11π/6, then sin(θ)=cos(θ)=

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Q: Evaluate the following (i) sin 78° cos 18° cos 78° sin 18° (ii) cos 47° cos 13° sin 47° sin 13°

A: These problems can be solved by using trigonometric formulas for sum and difference of two angles.…

Q: if cosA=1/2 with A in QIV, find the following. sin A/2

A: we use in this question 1-cosA = 2sin^2A/2. see 2nd step.

Q: Find the exact values of the following. 1. cos 585° 2. csc 600° 3. sec(-420°) 4. cot 4 117 5. sin…

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Q: Choose the answer below that is greater than cos 40 degrees. 1. sin 50 degrees 2. tan 30 degrees…

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Q: Find cos(θ) if sin(θ) is given and θ terminates in QI. sin(θ)= squareroot of 11/6

A: To find cos(θ).

Q: Which of the following is equivalent to cos 0-2 cos 0 sin0 -? 1-sin 0+sin²0-cos²0' tan 0 cot 0…

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Q: If θ= −1π/3, then (in exact values, no deicimals) sin(θ)=??  cos(θ)=??

A: We will find both the values as following.

Q: 3) If Sin A= 12/13 Then without using calculator Find the value of Cos 2A O 25/169 O (-119)/169…

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Q: 6. Find the exact value of cos 5 Tt 12. 7. Find the value of: (tan 10°) (tan 15°) (tan 20°) ... (tan…

A: 6- Given- cos5π12 To find- The exact value of the above expression. Explanation- Rewrite the given…

Q: 15. Find the exact value of each expression. a) sin 8° cos 22° + cos 8º sin 22° b) sin 75°

A: The angles and the sides of a triangle are related by using trigonometric ratios. These ratios are…

Q: 16. If 90' SAS180° and sin(4) =; then determine the exact values of cos(4) and tan(4).

A: In this question we given that sin(A) = 4/7 and we find value of cos(A) and tan(A) and here…

Q: Use a sum or difference formula to find the exact value of the following. sin cos 15 10 + cos 10 sin…

A: given,

Q: (3) Find cot(cos-(1/3)) OS

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Q: Find the exact value of 23л sin 30 17 237 17 COS + cos sin 30 30 30

A: Let's find.

Q: A. sinO cos (90 – 0) B. sin 25° sin 65° C. cos 16° = 90 – sin 16°

A: a) We know that sinθ=cos90∘-θ So, the option a is correct. b) We know that sinθ=cos90∘-θ…

Q: 1. cos 30 2. sin 60 3. cos 135 4. sin 240 5 sin 90

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Q: Find sinθ and tan⁡θ if cosθ=11/61 assuming that 0≤θ<π/2 sinθ= tanθ=

A: Given,          cosθ=1161 ; 0≤θ&lt;π2

Q: If cos (z +) + sin (z -) If cos( x + 6 + sin ( x 3 A, then the number A = %3D

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Q: Given cos theta = 4/5 and sin theta < 0, find sin(2theta), cos(2theta), tan(2theta)

A: fro simplicity take u instead of theta  as cos u &gt; 0 and sin u &lt; 0  , it is fourth quadrant

Q: a. cos (α - β) b. tan 1/2α c. sin2β

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Q: Use a sum or difference formula to find the exact value of the following. cos 7 21 6n + sin 7 sin 21…

A: To find the sum

Q: AABC is a 30°-60°-90° triangle. 7. Find AB and AC. 60° 15 sin 60° 8. Verify that tan 60° = cos 60°*…

A: Given

Q: Give exact values for sin 30°, cos 30°, sin 60°, and cos 60°.

A: We have to write the exact values of given trigonometry terms

Q: Divide. 9 (cos (11) + i sin in (¹)) 3√3 (cos(:)+i sin()) Enter your answer by filling in the boxes.…

A: The given expression is 9cos11π6+isin11π633cosπ4+isinπ4. We have to divide the given expression.

Q: COS 437/12 COS7T4+Sin 43T112 Sin? Ti/4

A: The expression is given by cos43π12cos7π4+sin43π12sin7π4 To evaluate: The value of the expression

Q: Find sin θ if cos θ =  4 5 and θ terminates in QI.

A: Given that , Cosθ=45, whereθ terminate in QI that is in quadrant Iwe have find the value of sin θ

Q: Which of the following expressions are equivalent to cos(20) .? tan(0) Choose all answers that are…

A: cos(2θ)tan θ =cos2θ - sin2θsinθcosθ              = (cos2θ - sin2θ) cosθsinθ             = cos3θsin…

Q: 2(cos 120°+i sin 120°) 4(cos 40º+i sin 40°)

A: We have to simplify 2cos120+isin1204cos40+isin40

Q: 9. Let's say sin (-) = a and cos 12 (플) = b. What 19T sin 12 19n cos 12

A: Find your answer below

Q: Iftan 8 and =sesz.then find sin 8, cos @, sec@.cot@, and csce. sind= cosd= sece3D cote= Csc8D

A: Giventan θ =-4and θ lies in IInd quadrant We know that1+tan2θ =sec2θ⇒sec2θ =1+(-4)2 =17⇒sec θ =±17…

Q: Suppose sin(@) = -³/5 and sin(ø) = –³/17. with both angles are in the interval n, 3*/2]. What must…

A: sinθ=-35sinϕ=-817

Q: Verify the identity. 30 csc 30 — сot 30 2 sin 2 2 csc 30

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Q: 1 with A in QIV If cos A = Find cot 24.

A: given, To evaluate Cot(2A)

Q: Establish the following identity. cos 0 – cos(30) = tan(20) sin(30) – sin 0

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Q: 7. If 0° < 0 < 90° and cos 0 find sin 20. 21/2 121 14/2 121 84 2 121 28/2 121

A: Since, we know that- sin2θ=2sinθcosθ &amp;  sinθ=1-cos2θ Then, sin2θ=2cosθ1-cos2θ

Q: If θ= 1π/4, then (in exact values, no deicimals) sin(θ)=??  cos(θ)=??

A: Here we will find the exact values of given trigonometric functions,

Q: 24 If tan(0) ,0 < 0 < , then 10 2' sin(0) equals cos(0) equals sec(0) equals

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Q: Which of the following expressions are equivalent to cos(20), .? tan(0) Choose all answers that are…

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Q: If cos 20 cos 40 + sin 20 sin 40 and 20 is in QIV , then cot 20 is 8 equal to 39 39 - 39 39

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Q: how is this solved ?

A: see 2nd step.

Q: Suppose sin(0) = -3/5 and sin(ø) = 8 /17, with both angles are in the interval 7, 3" /2]. What must…

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Q: 10. Find exact value of each expression. (a) cos(75°) + cos(15°) %3D (b) sin(45°) cos(15°)

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