Find the value of x in each of the following )tan 3x sin 45 .cos 45 .+sin 30

Q: Find the exact value of each of the following trigonometric fum 12 90 <0<180° 13 sin 0= cos 0=…

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Q: Find the exact value of each of the following. Show your Complete Solution. 12. tan( sin^–1 3/5 –…

A: We have to find exact value of  tansin-135-tan-114 Let  sin-135=a⇒sina=35⇒tana=34⇒a=tan-134…

Q: 3 If tan 0 2' T < 0 < find the exact value of each of the following. 2 (c) sin 2

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Q: Determine the values of sin 20, cos 20, and tan 20, given 3 cos 0 = 1 and 0 ≤ 0 ≤ T 2°

A: We want to find the value of cos2x,  sin2x,  tan2x.

Q: Find sin π/4, cos π/4, and tan π/4.

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Q: 1 and x is in quadrant I, then cos(90° - x) = 8 1. If sin x=-

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Q: 5. If 270° <0 < 360° and cos 0 = , find sin . 3. 3

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Q: 11. Evaluate the exact value of each of the following trig e> a) tan-(-V3) b) sec (sin" (-))

A: Answer and explanation is given below

Q: 24 7.

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Q: (2) = , Which of these is a valid solution to the equation tan ( x 4 3 O 7T

A: We can find the answer as below.

Q: 8 If tan 0=, T<0< find the exact value of each of the following. 5' 2 (a) sin (20) (b) cos (20) (c)…

A: We use Trigonometry ratios, double angle and half angle formulas

Q: 4 If tan 0== 3T find the exact value of each of the following. 2 (a) sin (20) (b) cos (20) (C) sin…

A: We have to use properties of trigonometric angle to solve the given question

Q: Apply the appropriate formula to evaluate the following. a. 2 sin 15° cos 15° * cos 21 - sin sin 9…

A: a. 2 sin15° cos15°=sin215°       ∵sin2x=2 sinx cosx=sin30°=12

Q: 3n 1) sin 2) сos 210° 5n 3) cos 4) sin 4.

A: 1) Given:         sin3π4      Use the following identity:          sinx=cosπ2-x…

Q: Evaluate the expression under the given conditions. sin(8 + 9); sin = 159 in Quadrant I, cos pa =-.…

A: To find sin(x+y)

Q: Find the exact value of the following expression. sin [2 cos (-1)] sin [2 cos (-1)] =O

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Q: To evaluate / tan³ x cos² x dx, we may substitute u = cos x. Select one: a. False b. True c. None of…

A: Given:∫tan3x cos2x dxTrigonometry identities:sin2θ=1-cos2θtanθ=sinθcosθIntegration…

Q: Hence or otherwise find the exact value of 2 sin 285 cos 45

A: Given  To find exact value of 2sin285 cos 45   Using formula

Q: Find the exact value of (sin 14°)2 + (cos 14°)2 - 3

A: Given expression: sin 14∘2+cos 14∘2-3 The objective is to find the exact value of sin 14∘2+cos…

Q: Given x = 60°, tan š can be rewritten as which of the following? 1- cos 60 1- 2 sin? 60 1- cos60 tan…

A: We can find the answer as below.

Q: How many solutions are there in the interval 0 < x < 27 for the equation 4 cos 3x = 9? o 1

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Q: If ß is such that sin 230, the of the following two values?

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Q: 8 If tan 0= T< 0 < 7' 2 find the exact value of each of the following. (a) sin (20)

A: we have given a trigonometrical ratio. We have to find sin2thita

Q: 3n 8 If tan 0= find the exact value of each of the following. 2 cos (20)

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Q: Find the exact value of cos a/2 given that tan a = 15/8 ,a lies in Quad III.

A: Given: tan a=158 a is lies in Quadrant III. We have to find the exact value of cosa2 Use the…

Q: If the cos 0 = and tan 0 = , 5 13 what is sin 0? 12 %3D 5 sin 0 = %3D Enter

A: Proceed as shown below

Q: 5. Use a half-angle identity to find the exact value of sin cos x = 12

A: To find the value of sin

Q: Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 c.…

A: We use double angle formulas to solve these Questions

Q: 2.) Use the given information to find the exact value of tan( ). , 0 < a < 5 11 sin(2 61 » 2

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Q: Find the exact value of cos-1(tan 3pi/4)

A: Answar is pie.

Q: If cos A= 21/3 and A is between 90° and 180°, find   sin A/2

A: Given : If cos A= 21/3 and A is between 90° and 180°,    Since, 90° &lt; A &lt; 180°…

Q: Use the facts that cos (π/6)=((√3)/2) and sin (π/6)=1/2 to find the exact value of tan ( π/12)

A: Given: -

Q: Use the given information tan α = 8/15, 180° &lt; α &lt; 270° to find the exact value of the…

A: Use the given information tan α = 8/15, 180° &lt; α &lt; 270° to find the exact value of the…

Q: Find the exact values of sin(2x). cos(2x) and tan(2x) without solving for x. If cosx =, and x is in…

A: Given ,  cosx = 2/3 and x is in quadrant 1 We have to find exact value of sin(2x) , cos(2x) ,…

Q: Find the exact values of each of the following trig functions: 1) sin270°= 2) cos(−210°)= 3)…

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Q: - Find the value of each of the following: 4T Cos 3 sin(-30°) , ,sec(165°)

A: as per our guidelines, i can answer only one equation with three subparts. To know rest, please re…

Q: 13 12

A: To find tan(θ) for the given right triangle

Q: Find sin 2x, cos 2x, and tan 2x if tanx= and x terminates in quadrant II. 12

A: In second quadrant sin is positive and cos is negative

Q: to 11. If sin 18 0.309, determine the value of cos 72.

A: Answering question number 11 since 10th is already been correctly solved.

Q: 8. 15 Use the figure above to find the exact value of sin 20, cos 20, tan 20. sin 20= cos 20= tan…

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Q: If sin 0 = 0< 0<5, find the exact value of each of the following. 41' 2 (a) sin (20) (b) cos (20)…

A: Given that: sinθ=4041   NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: Find the exact value of each of the following. 2411 sin (i) sin 101 1924 Cos 83 (ii) cos (iii) cos…

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Q: Given that cos 0 = <0 <n, find the exact value of each of the following. 3 (a) sin (20) (b) cos (20)…

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Q: 4 , x in quadrant I, then find (without finding x) : 5 If sin x = 24 sin(2æ) = 25 cos (2x) = tan(2x)…

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Q: Use the given information tan α = 4/3, 180° &lt; α &lt; 270° to find the exact value of the…

A: To Determine: use the given information to find the exact value of the following  a)  sinα2   b)…

Q: Use the given information sec α = -3, π/2 &lt; α &lt; π to find the exact value of the following: a.…

A: Given:             sec α = -3,            π/2 &lt; α &lt; π        cos α = =1sec…

Q: Use exact values to show that the following is true. sin 60° = 2 sin 30° cos 30°

A: We have to show

Q: Suppose that tant 12 and sin t 20 use the appropriate Double - Angle Identity to bolve each of the…

A: Given that          tant = -125  and      sint&lt;0                           tant = -125…

Q: Find the exact value of the expression whenever it is defined. a. cos( 2 sin-1(3/5)) b.  tan(2…

A: given: a cos2sin-135,b tan2tan-152 we know that cos2θ=1-2sin2θ…

Q: Find sin 2x, cos 2x, and tan 2x if tanx= and x terminates in quadrant III. 3

A: In order to solve this kind of questions we need the following concepts:…