The horizontal distance d, in meters, travelled by a ball that is kicked at an angle, 0, with the ground is modelled by the formula d = 1-2(,) sin e initial velocity of the ball, in meters per second, and g is the force of gravity (9.8m/s2). Which expression is identical to the given formula? where v, is the sin 20 =PO d = cos 20 O no correct answer tan 20 d = cos 0 d =

Q: Find sin), cos(), and tan() from the given information. sin(x) = 13' 4, 0° < x < 90° sin) -I cos…

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Q: Given: cos A= -, sin x = - 3, e is in the third quadrant, and x is in the fourth quadrant; evaluate…

A: Given, cosθ=-45  where 180°&lt;θ&lt;270°We know that ,sin2θ+cos2θ=1sin2θ+-452=1sin2θ+1625=1Subtract…

Q: act value of the trigonometric function given that sin(u) = -3/5, and cos(v) =-8/1

A: It is given that;  sinu=-35 and cosv=-817 we have to find the exact value of sin(u+v)=?

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Q: 5. Find, without using a calculator, 3 cos(F) sin(-5) 6. Simplify a. cost+2 cos(-t) b. sin(+t) +…

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Q: Find the exact value of the trigonometric expression given that sin(u) = - where 31/2 < u < 2n, and…

A: Given that

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Q: If tan(0) = 7 and sin(0) < 0, then evaluate the following 6 - - functions and show your answers to 1…

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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: If tan(0) 7 and sin(0) < 0, then evaluate the following functions and show 3 your answers to 1…

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Q: Use trigonometric identities to transform the left side of the equation into the right side (0 < 0 <…

A: Use formula:-  (i) (a + b)(a - b) = a2 - b2  (ii) sin2x + cos2x = 1

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: 5. The expression tanz+1 1+cot" was simplified as follows. tar' s+1 = = sec" r csc I cos e cot? a…

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Q: Assume that a particle's position on the x-axis is given by the equation X = 5 cos t+ 2 sin t where…

A: Concept - substitute t=0 in given position of particle

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Q: Enter your answer as an exact ratio, or a decimal rounded to at least 4 decimal places. If tan(0)…

A: We find the values by Pythagoras theorem.

Q: Find the exact value of sin α = 3/5 , a lies in quadrant I, and sin α = 5/13, β lies in quadrant…

A: Given Data The value of sine in quadrant I is sin α=35. The value of sine in quadrant II is sin…

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Q: cot a, if sin a : and cos a < 0 V15 sec a, if cos a = 4 315

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

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Q: IfØ is the angle between a line through the origin and the positive x-axis, the area, in cm?, of…

A: Given that: A=3θ+4sinθ+12sin2θ Therefore, rate of change of area charging is as following: dAdt.…

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: the exact aue of the expression sin sin (a - B) = | (Simplify your answer. Type an exact answ

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Q: If sin a = 0.211 and sin 8 = 0.304 with both angles' terminal rays in Quadrant-I, find the…

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Q: Find the value of sin 0, given that tan 0 = 1.877, if e is an acute angle. sin 0=0,8826 (Round to…

A: Taking a traingle with given values for tan(theta)

Q: In a right triangle, sin(40 – x)° = cos(3x)°. What is %3D the value of x?

A: given :

Q: Find the exact value of the trigonometric expression given that sin(u) = - where 3x/2 <u< 2x, and…

A: tan(u+v) = (tanu +tanv)/(1- tanu*tanv) tanu = sinu/cosu cosu = 1-sin2u cosu = 1-(3/5)2 cosu = 4/5…

Q: Approximate to four decimal places, when appropriate.

A: To evaluate,

Q: Find the exact value of Sin 20 given that 28 and e is in quadrant I. CosO =- 53 Sin 20=

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Q: Find the exact value of the trigonometric expression given that  sin(u) = -3/5, where 3π/2 &lt; u…

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Q: Suppose a projectile is fired from a cannon with velocity vo and angle of elevation 0. The…

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Q: 14. The expression tan 1 was simplified as follows. 1+cot' tan' z+1 Itcot° # Ree cac e cos sinz cot?…

A: The error is in the third step. 1/(Sec square x) is not equal to sin square x. It is equal to cos…

Q: Given that V2- v2 sin 2 find the exact expression for the indicated quantity. 9n sin 8 II

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: If cot 0 = -, and 0 is in QII, find the value of sin 0. O 3V10 10 3/10 10 V10 - 10

A: Solving the problem by finding the value of sine.

Q: Find the exact value of the trigonometric expression given that  sin(u) = −  3 5,  where  3?/2 < u…

A: sin u= 1-cos2u sin(u + v) = sin u cos v +cos u sin v

Q: (b) Show that sin50=(Q sine-R sin 30+S sin 50 ) by using De Moivre's Theorem. Hence, state the…

A: We have to express sin5θ   in the form   sin5θ = 1PQsinθ-Rsin3θ+Ssin5θ using De Moivre's Theorem. At…

Q: 4) Determine the exact value of each trigonometric ratio. a) sin 5t/6 b) sec -Зл/4

A: We will use basic properties of trigonometric functions and find the values as follows

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. cot(x) =D를, x in Quadrant I sin(2x)…

A: cot x = 23= 0.67x = cot-1(0.67)x = 56.3°2x = 112.6°

Q: c) y = sin-1 d) y = V2 = arccos

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Q: For a small angle 0, where 0 is in radians, show that 2 cose+ (1-tan e) 3-20. Hence determine an…

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Q: a - b? If cos 0= , express sin 0, cot 0, sec 0 and cosec 0, in terms of a and b.

A: Solution is done in step 2

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

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Q: Find the exact (NO DECIMALS) value of value of sin e and cos e given cot e = -V24 and csc8 > sin 8=…

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Q: Find the exact value of the trigonometric expression given that  sin(u) = −3/5, where 3?/2 < u <…

A: Given that, sinu=-35, 3π2&lt;u&lt;2π and cosv=1517, 0&lt;v&lt;π2 To find cscu-v, we will use…

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

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: approximate the acute angle θ to the nearest 0.0001° for (a) and (b) and " for (c) and (d)…

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Q: 5. Determine the value of sin(arctan(3)+arctan(2)) using the trig identity sin(A+B) = sin(A) cos(B)+…

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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.