Solve cach trigonometric cquation. 1. sin x tan x = 0 | 2. secx + tan x = 0 i 3. tan 8 cot 0 + v3 tan 6- V3 cot 0-3 = 0

Q: establish each identity.

A: We have to prove the identity: tan2 θ cos2 θ+cot2 θ sin2 θ=1 We know the identities, tan θ=sin θcos…

Q: 9. Solve the following trigonometric equation. C. 2 cos x tan x = 2 cos x а. 2 cos x — 1 3D 0

A: according to the guidelines of company only 3 parts would be answered in this question to get solved…

Q: 2. Solve the following trigonometric equations on the interval 0 <0 < 2m: (b) 2 cos (0) + sin(0) = 1…

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Q: Find all solutions for tan (x) = 0. %3D 1 5 If sin (x) 0 <y<5, evaluate the expression CoS (x – y).…

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Q: 20 Suppose that sec(0) = = and tan(4) = -. If sin(0) 0: %3D a) Find sın(0 + p): b) Find tan(0 + ¢):…

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Q: 2 and 270° <0 < 360°. 13 Suppose that sin0 = - Find the exact values of sin - and tan

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Q: 4 Suppose that sina and 90° < a < 180°. 5 a Find the exact values of sin and tan 2 गंत 2

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Q: 2) What is the cos Z? Express fractions in the lowest terms. NO DECIMALS 40 Y 9. 41 Your answer 3)…

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Q: COs 0 , where r<0< 4 tan 8 =, where 0 <B< What is the exact yalue of sin (A i An

A: Given,            cosθ=-34, where π≤θ≤3π2            tanβ=34, where 0≤β≤π2To find : What is the…

Q: How can we find x using SohCahToa? sin 34 = %3D y cos 34 = tan 34 = 34°

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Q: 1-tan? e cos? 0 - sin? 0 1+tan? 0

A: To Show : cos2 θ-sin2 θ=1-tan2 θ1+tan2 θ.   Consider Right Hand Side: 1-tan2 θ1+tan2 θ. Apply tan…

Q: 10. If cose = /3 sin 0 then the exact value of tan 20 is: A. -V3 В. 23 1 С. D. 3

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Q: a.) If sin 0 = 0.6525, find two values of 0 where 0 s 0 < 2n. %3D 12 b.) If tan 0 = = and 0 is in…

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Q: B. Solve for the acute angle of angle 0 for each that satisfies the given condition. 1. sec 30 = cSc…

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Q: 6. SOLVE – Given the trig values of sine and cosine below to find tan 0. 5 sin 0 = 2/6 and cos 0 = 7

A: Find using properties of trigonometric rations

Q: 3 Find the exact value of tan(2x) given sin(x) = х in -- quadrant III. А. 17/6 В. 19/6 С. 22/7 D.…

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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: ind the exact value of each of the remaining trigonometric functions of 0. 10. cos 8= - e in…

A: It is trigonometric ratio problem.

Q: 7. Find the exact value of tan 6 + sin 0 for the angle 0 shown. 3

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Q: 23. If we verify the identity sin?r 1-cos z sec z +1 using a sec r then the value on both sides of…

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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: 12. Explain why using trigonometric substitution with x = a tan u often involves a triangle with…

A: Consider the right triangle below with angle u , opposite side x and adjacent side a.

Q: B. With the indicated condition, find all real values of x or angles that will satisfy the given…

A: Given; 2) 2cos2(theta)=-3sin(theta) 3)Tan2x-Secx=1 4)cos(2 theta)=-cos(theta)

Q: 8. 4. 3. > 7>0 pu 2' If tant = find sin t, cos t, sec t, csc t, cot t. Enter the exact answers. b…

A: As we know that; The trigonometric identities: 1). sec2x-tan2x=12). sin2x+cos2x=13). cosx=1secx4).…

Q: 9. Solve the following trigonometric equation. b. (1+ cose)(tan 0 – 1) = 0 C. 2 cos x tan x = 2 cos…

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Q: f cos 0 and tan 0 <0, then 8 sin(8) tan(0) cot(0) %3D sec(e)

A: if cosθ=-28 and tanθ&lt;0 we have to find ,  sinθ=tanθ=cotθ=secθ=cscθ=

Q: Find the exact values of sin(0/2), cos(0/2), and tan(0/2) for the given conditions. 5 sec 0 180° < 0…

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Q: 2.12. Find the exact values of sin 2u, cos 2u, and tan 2u using the double-angle formulas given that…

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Q: 5 and 90° <0 < 180°. 13 Suppose that sin0 %3D Find the exact values of sin and tan -

A: Given, sinθ=513 and 90°&lt;θ&lt;180° That is θ lies in the second quadrant,

Q: 8 Given cos 0 = 17 find sin 0. sin 0 = [?]

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Q: 17 and 180° <0 <270°. 8. Suppose that sec 0 = Find the exact values of sin and tan 2

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Q: 11. Given that 0 is an acute angle and sin 0 trigonometric functions of 0. find the exact values of…

A: θ is acute so it's in first quadrant. All the trigonometric ratios will be positive.

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

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Q: (a) The solutions of the trigonometric equation tan(30) +1 = 0 are: 37 kT ; + ka (i) + kT (ii) 4…

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Q: 1. Which is the equivalent of tan 0? O sin 0 Cos cos 0 sin 0 sec0 csc 8 CSc 8 Sec 0

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Q: What are the values of 8 between 0 and 2n (inclusive of 0 and 2t) that satisfy the trigonometric…

A: tan2θ-3secθ=-3⇒tan2θ-3secθ+3=0⇒2+sec2θ-3secθ=0⇒secθ=2, secθ=1⇒θ=π3+2πn, θ=5π3+2πn, θ=2πn

Q: and 0 s es find the exact value of tan 20. 2 If sin e= 7. 24 24 45 314 41on

A: Given that, sin theta = 4/5 where 0 &lt;= theta &lt;= pi/2 So theta lies in the first quadrant.

Q: 6. If sin A = where A is in Q2 and secB = where B is in the interval , 2n|, find sin(A – B).

A: We know in the second quadrant(Q2) all the trigonometric ratios except sin and cosec take negative…

Q: Find the exact values of the remaining trigonometric functions of 0 satisfying the given conditions.…

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Q: Q6: 135 degree 2.5 radian * O True O False Q7: sec x * csC x = 1/(sin x * cos x) O True O False

A: Since you have asked multiple question and didn't mentioned which one to solve and i can solve only…

Q: 45 [6] cos 2B and sin 2B given sec B & sin B> 0. In what quadrant does 2B terminate? %3D

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Q: Evaluate ( cos´ æ dr sin a o -tan r + C o - cot³ x + C None of the choices. Please refer to my…

A: Given: I=∫cos2xsin4xdx

Q: 8 sin(x) x in Quadrant I 17

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Q: 1 and x terminates in quadrant I. Find sin 2x, cos 2x, and tan 2x if tanx = sin 2x ? cos 2x tan 2x

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Q: 3) tan? 0 – sec? 0 4) 1- cos? 0 1.092 5) (1- cos 0)(1+ cos 0) 6) (secx- 1)(sec x + 1) 1 1 sin? e 7)…

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Q: 1 Let sinx = and x in an angle in quadrant III . а. 2+0 Find sin(2x), cos(2x) and tan(2x).

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Q: If sin a= 7√2/10 and π/2 (less than) a (less than) π, find the exact value of tan 2a

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Q: 1 Find tan 0, given that cot 0: 2 а.-1 b.- C.-2 d.2 IN

A: Use the trigonometric formula of tangent and cotangent.

Q: 14. Find sin 0, given that cos0=Y,and tan 0 <0. V5 V59 a.- 8 5 C.- 8 d

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Q: #17

A: To Determine: Find the value of sin(theta), cos(theta) &amp; tan(theta) using the given information:…