3. Simplify each of the following, and then evaluate as an exact value. a) cos특cos -s 는 tan+tan 12 b) 197 197 sin–sin 1-tan플tan 18 18

Q: Prove the following trigonometricidentity: 1 +. sin 6 tan 8 + cos 8 tan 8

A: Use the standard Trigonometric identities to prove this identity.

Q: Which expression is equivalent to sin Bcsc ßsec B for all values of B for which sin Bcsc Bsec B is…

A: Given,             sin β csc β sec β

Q: If tan(θ)=15/8, 0 ≤ θ ≤ π2, then what is sin, cos, and sec of (θ)??

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Q: tan 13° cos 57° sin 77 %3D %3D

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Q: If sin 20 = √3, 0≤ 20 ≤ 2π, calculate the values of

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Q: For ques. 9, use Wallis' formula po. Question 9 Evaluate: " sin" cos* (*) CoS

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Q: Use the exact values from show thatthe following are true.   cos 2 theta 30 0   + sin 2 30 0 =1 cos…

A: The values you will use : cos30∘=32sin30∘=12cos45∘=12sin45∘=12

Q: 5 7. Given that sin 0 and 270° < 0 < 360°, sketch 0 in standard position and fin 13 sin 2 а.

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Q: Let sin A = with 270° SAS 360°, Find 13 sin 2.

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Q: Verify the identity. tan (20) + cot (20) = sec (20) csc (20) Which of the following four statements…

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Q: Find the exact value of sin 5π/12 using the fact that 5π/12 = π/6 + π/4.

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Q: [3(cos 18° + i sin 18°). [2(cos 20° + i sin 20°)]³.

A: De Moivre's Theorem: cosθ+isinθn=cosnθ+isinnθ where n∈ℤ

Q: Verify the following identities (tan 8 + cot 8)^2= sec^2 8 + cos 8

A: To verify the identity

Q: Use a special right triangle to express cos 45 as a fraction or as a decimal to the nearest…

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Q: Use exact values to simplify 8 cos² 30° + 2 sin 30°. O 6 O 7 O 1 + 2/3 O 5/7

A: Given: 8cos230°+2sin30°

Q: do sulev tos 11. sin 405° 12. cos 420° 13. tan 405° 14. sin 390° 15. csc 450° 16. sec 540° 33т 19.…

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Q: 4. U se a scient calculator to approximate in decin degrees and follow significant figu rules: 0 =…

A: Our objective is to find theta

Q: Prove or disprove the following identity. sin3 0 tan0 + sin²0cos0 sinOtan0

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the variable  for  the…

Q: Which of the following statements is not true? O sin (B) = cos (90° - B) Submit Answer O cos (2x) =…

A: use trigonometric formulae to check as below

Q: Let tan (8 ith ở in QL Find sec (2) - 16

A: Explanation and solutions is given below....

Q: If the terminal side of 6 contains the point (6, 8), what is the exact value of sin (8 – )? 7/2 10…

A: We know that if the point in the angle's terminal side is P=(x,y) then sin(bita)=y/r and…

Q: If COS 0 = √√3 2 ო sino = 9=1/1/21 FIN O sin0 = 1/14 2 O sin0 ine=-2/2 O sine= 11/13 2 == and < 0<-…

A: topic- trigonometric ratios

Q: State whether the following statement is true or false. sin20 = 1- cos 20 Choose the correct answer…

A: We have to check

Q: Show (without using a calculator) that sin π/7 cos 4π/21 + cos π/7 sin 4π/21 =√3/2 .

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Q: If asin0 + bcos0=c Then prove that a cos0 - bsin0 = Va? + b? + c?

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Q: Select ALL the true statements regarding this triangle. C 13 4 A В O tan(8) = 13 O tan(6) = 4 %3D 13…

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Q: iven that (1-cos(theta))/2=0.7, find csc^2(theta/2)

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Q: Find the following. 0. tan 5 given sin 0 = 12 ,90° <0<180° 13

A: It is given that- sinθ=1213 where 90°&lt;θ&lt;180° Thus, θ lies in 2nd quadrant. sinθ=2tanθ21+tan2θ2…

Q: use the given Corditions 10 find the exact values. of sin(2u) cosQu)rtancz) usingthe doube Aingk…

A:

Q: Prove that c) 1-tan?A -Cos 2A Htan?A

A:

Q: 4. Robin claims that tan 45° is equivalent to cos 90°. Bradford very adamantly disagrees with Robin…

A: Solution

Q: Suppose that sin t = and cos t so. as Use the appropriate Dauble - Angle Identify to olve each of…

A: Using double angle identities : sin(2t) =2 sin(t) cos(t) cos(2t) = cos^2(t)- sin^2(t) tan(2t) =…

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

A: here we must know these formula: 1) sin(A-B)= sinA cosB - cosA sinB 2) cos(A+B) = cosA cosB - sinA…

Q: Let cosA = −5/13 with A in QIII and sinB = 3/5 with B in QI. Find  tan(A − B).

A: I am attaching image so that you understand each and every step.

Q: 13 Evaluate tan B given that cass = 7 Where 37 <p く20 2.

A: As we know that; The trigonometric identities: 1). sin2θ+cos2θ=12). tanθ=sinθcosθ Given; cosβ=32

Q: 4. Which expression equals 0? sin 50° tan 50° cos 50° O tan 50° – cot 50° tan 50° + sin 50° cos 50°…

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

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Q: what is the exact value using half angles for 1. sin(11pi/12) 2. cos (7pi/8) 3. tan (5pi/12

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Q: Use de Moivre's Theorem to test the correctness of the following identity: sin (30) = 3sin(8) –…

A: Since you have posted multiple questions but according to guidelines, we will solve first question…

Q: 15. 2 cos? 105° – 1 2 tan 165° 17. 1 – tan? 165° - TT 19. 1 – 2 sin? 8

A: Use double angle identity

Q: Which of the following is equal to tan(377/8)? tan(T/8) O - tan(T/8) cot(T/8) O - cot(T/8) Which of…

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Q: If sinθ=12/13, what does tanθ=?     51/2   12/5   5/13   13/12

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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: Find sec ? if tan ? = 8/15 and ? terminates in QIII.

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Q: Recall that sin2 θ means (sin θ)2. If tan θ = 3, find tan3 θ. tan3 θ =

A: Given information

Q: Let tan = 6 with in QI and find the following. sec 20

A: Given tan θ=6 and the angle θ is in the first quadrant. To find the value of sec 2θ.   The angle 2θ…

Q: What is the simplified form of cos 10z-cos 42 , sin 102+sin 4æ O -tan(7x) O -cot(7x) O tan(7x) O…

A: We will evaluate the given form to simplest form as shown below

Q: 1. Prove the following identity: tan 0 + tan 8 sin Ocos 0

A: