1)use the given information to find  a)sin (s+t) b)tan(s+t) and c)the quadrant of s+t. cos s=-12/13 and sin t =-3/5 s and t in quadrant 3. 2) use the cosine of the sum and cosine of a difference identities to find cos (s+t)and cos(s-t) Cos s=3/5 and sin t=1/5 and t in quadrant 1 A) cos (s+t) B)cos (s-t)

Q: Use the conditions below to find sin 2θ, cos 2θ, and tan 2θ. cos θ = 5/13, 3π/2< θ < 2π

A: Given:

Q: 4. Apply half-angle formula to find a. cos 15° b. sin 15° C. COS

A: Given: cos15∘, sin15∘, cos5π8 We know that cos2x=cos2x-sin2x…

Q: Find the exact value, given that sin A =-45, with A in quadrant IV, tan B = 724 with B in quadrant…

A:

Q: Prove the reciprocal identities csc 0 = sin 0 1 sec 0 = 1 and cot 0 = cos 0 tan 0 1 If P(x,y) is the…

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Q: Find the exact value of sin 20, cos 20, and tan 20 using the double-angle formulas. cos 0 = 5 13 S…

A: Given cosθ=513We know that sin2θ+cos2θ=1sin2θ=1-5132        =1-25169        =144169Sinθ=-1213 (As…

Q: , Find the exact value of cos (a – B) given that cos a = - and sin 3 = -0 for a in Quadrant III and…

A: We have to find the value of a trigonometric expression involving two angles.

Q: 7. Given that tan (A) = - and angle A is in 3rd quadrant and cos(B) = - and 13 angle B is in 2th…

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Q: 1-cos . Fill in the blank: sin(_) = V 2 O 7y

A: As per our guidelines we are only supposed to solve first question in case of multiple questions

Q: of

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Q: ngles A and B are located in the first quadrant. If sin A = lue of cos(A + B). 5 and cos B = 13 3…

A: Given query is to find the value fo indicated angle.

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: A ball attached to a spring is raised 2 feet and released with an initial vertical velocity of 3…

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Q: 2. Find the cxoct values of Sin Zu and cos2u

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Q: 3. Find the exact value of tan(a - B) if sin a = 13 and cos B = and a is 25 %3D in quadrant II while…

A: Given :  If sin α = 5/13 and cos β = 7/25 , α is in quadrant II while β is in quadrant III.   Find…

Q: (유) 8 Find the EXACT value of sin(A + B) if angle A is arctan and angle B is arcsin 17 sin(A + B) -

A: Given ∠A=arctan43 and ∠B=arcsin817. We have to find the exact value of sinA+B. Use formula,…

Q: 3 12 6. Gtven sina = -; and cosß = where n<a <: and <B< 2n. 5 13 Draw the triangles, length of the…

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Q: Indicate the quadrants in which the terminal side of θ must lie in. a. If sin θ 0 and csc θ 0,…

A: Given that: a. If sin θ &lt; 0 and cos θ &lt; 0, then θ terminates in       b. If tan θ &gt; 0 and…

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: 2. (20 pts.) Let cos() =- and <B< Use one of the Half-Angle identities to find the exact value of…

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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: 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: A right-angled triangle xYZ has an angle, o, where sin o = 5. Without evaluating &, calculate the…

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Q: 8 Find the EXACT value of cos(A – B) if angle A is arccos and angle B is arcsin 17

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Q: Consider the function y=sin0, where 0=u+v. Suppose that u = v. Show how the Sum and Difference…

A: We will see the ans in next step

Q: Find the smallest positive angle such that sin 2a = cos 3a %3|

A: As per our guidelines we can solve only one question. Rest question can be reposted.  Here in…

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

A:

Q: 2. Demonstrate that the double angle formula for sin2x is derived from the compound angle formula…

A: Double angle formula for sin2x is sin2x=2sinxcosx. and compound angle formula for sin(a+b) is…

Q: 3. Find cos a if sin a

A: Given:sinx=910cosx=?Formula:cos2x=1-sin2x

Q: Refer to the table below if needed. Second Quadrant Third Quadrant Fourth Quadrant sin(180° -e) =…

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Q: 2. Find the exact value of sin 20 and cos 20 if sin 0 = and angle 0 lies in quadrant II.

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

A: Answar is pie.

Q: xpress tan t in terms of sin t, if the terminal point determined by t is in Quadrant I

A: We are asked to express tant interms of sint

Q: Indicate the quadrant e where e belongs to satisfy the following conditions: + sin/csc all + +…

A: To identify the quadrant where the angle θ belongs.

Q: V3 with A in QIII and sin B with B in QII, Let cos A = ww find sin(A B), cos(A - B), tan(A – B). In…

A: →sin(A-B) = sinA cosB - cosA sinB→cos(A-B) =cosA cosB +sinA sinB

Q: 7. Find the angle for sin V2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1 Suppose that cota= and - <a<T. <a<n. 2 Find the exact values of sin- and tan- 2 2 JT

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Q: B/ Find sec a, sin a, csc a, tan a and cot a, if a =. -1 V3 = COS 2

A: Given query is to find indicated trigonometric functions.

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: find sin2x, cos2x and tan2x from the given information a)sec x=2, x is in quadrant IV b) tan x…

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Q: and sin B = 25 match each expression in Column 1 with its exact value in Column 2. Given sin A = =…

A: Given,           sinA=35 and sinB=725 where A is in quadrant II and B is in quadrant I

Q: 1 Assume that cos(0) and 0 is in the first quadrant. Compute the following using the double 5 angle…

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Q: 2. Given that csc A = v2, A in QI, and sec B V5, sin B <0, find: a. cos (A- B) b. tan (A- B) %3D

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find Sin(2x), Cos(2x), and Tan(2x), using the given information. sin(x) = −5/13,   x in Quadrant…

A: Given: sin(x) = −5/13,  x in Quadrant III In Quadrant III tan and cot are positive and all other…

Q: 4. Apply half-angle formula to find b. sin 15° 5m C. COS a. cos 15°

A: The half-angle formulas are: sinθ2=±1-cosθ2cosθ2=±1+cosθ2   We know that the sine function is…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 8,   x in Quadrant IV

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Q: Use the given information to find the exact function values of sin(2θ) and cos(2θ). (1) sinθ =…

A: (1) Consider the given trigonometric ratio in III-quadrant sinθ=-1213 First, find the value cosθ of…

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: Find the exact value of COS 2x given that sin x III. 3 and is in quadrant

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Q: Find the exact value of cos α = 1/2, α lies in quadrant IV, and sin β = - 1/3, β lies in quadrant…

A: (a) Consider the given expression as, cosα+β