Given sin a = -, a is in QIIl and cos B = , Bis in QIV. Where is angle (a + B) located? O on the positive x-axis O on the negative x-axis O on the positive y-axis on the negative y-axis

Q: ABC is a right angled triangle with AB = 4 units and BC = 3 units Prove that for the angle marked x°…

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Q: Find sin (- if tan u = 15.533 and u is in Quadrant-IV. sin) = Your answer should be accurate to 4…

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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°<θ<270°We know that ,sin2θ+cos2θ=1sin2θ+-452=1sin2θ+1625=1Subtract…

Q: Reduce sin θ + 2 cos θ to the form r sin(θ + ϕ), and find ϕ

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Q: 6. 2/10 2.

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Q: 6. Given that sin e = 9/10, find the cos 0. %3D

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Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

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Q: Given sin b=5/13 in qii,find the exqct value of sin(2B)

A: Given that         sinB = 5/13 , where B is in Q II.      We have to find the value of sin2B.

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A: Cosu =4/5 We can calculate Sinu by using Pythagoras theorem Hence sinu = 3/5

Q: Given that sin' (x) and cos (x), show that sin(a+B) = 1 %3D

A: Use the identities of inverse trigonometric function.

Q: If it is known that sin a = and < a <n and cos ß = -- and <B < , find the exact %3D value of cos(a +…

A: cos2 α+sin2 α=1  Substitute sin α=13 in the above trigonometric identity: cos2 α+132=1 cos2…

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A: Calculate sin u using the identity sin2θ+cos2θ=1. sin2u=1--12132sin2u=132-122132sin2u=52132sin u=513…

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: If sin 0= and is in QII, cos is equal to COS A 4/5 5/3 -4/5 D -5/3 B.

A: Given Sinθ=35We know sin2x+cos2x=1Upon substituting:cos x=1-sin2x        =1-(35)2

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

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Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A: Using sin(2u)=(2tanu)/(1+tan2(u)). Cos(2u)=(1-tan2u)/(1+tan2u). Tan(2u)=(2tanu)/(1-tan2u).

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

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Q: Given sin 0 = , where < 60 < , determine the value of cos VTO 10 3/10 10 O 3V10 10 10

A: We use cos (x)=√(1-sin2x) and cos (x/2)=√((1+cosx)/2). Thus ,option c is correct answer.

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

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Q: Given sin ß = in QII, and is on the terminal side of a the exact value of: • sin(a + B)

A: Given: sinβ=513

Q: 3. Using the fact that sin 2a = 2 sin a cos a, and the fact that 0 = 2a, rewrite the area of the…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Evaluate the expression under the given conditions. 2/5 sin(0 + w); sin(0) O in Quadrant I, cos(@) p…

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Q: If cosA = −4/5 with A in QII, find sin A/2 .

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Q: If cos b = and sin a = £, where a and b are between 0 and , evaluate: %3D sin 2a cos(a - b)

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Q: For what angles O between 0° and 360° is v3 cos 0 = Sin ĕ true?

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Q: Given sin 0 =, , where < 0 < , determine the value of cos () 3/10 10 V10 10 V10 10 3/10 10

A: topic - trigonometric ratios

Q: If P = A sin 0 + B cos 0 and Q = A cos 0- B sin 0, find the value of A2 + B² in terms of P and Q. А.…

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Q: Find sin u and cos u if the given point lies on the terminal side of u.     (3,-4)

A: R=x2+y2sin u= y/Rcos u=x/R

Q: Given that sin' (x) and cos ( x), show that sin(a+B) = 1

A: Given that sin^-1 (x) and cos^-1(x) We have to prove that sin ( alpha + beta) = 1

Q: Find the exact value of the trigonometric expression given that sin(u) = - =, where 37t/2 < u < 27,…

A: According to trigonometric formula sin(u+v)=sin u cos v +sin v cos u . Also value of sin2u+cos2u is…

Q: If Sin A=5/13 with A in QII, then find sec A/2

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Q: l side of θ lies along the lin

A: we have to find sin θ and cos θ if the terminal side of θ lies along the line y = 4x in QI

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: A is If Sin A = Hhe In the third avuaJantdetermine exact value of tan A. an angle the

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Q: 1. If the angle 0 is in standard position and P(x, y) is a point on the terminal side of 0, and r is…

A: Draw the diagram according to the question.

Q: For what angles 0 between 0° and 360° is cos 0 = sin 0 true?

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Q: Given that sin 0 =-- and 0 lies in quadrant IV, find the exact value of cos

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Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A: Given, secu = -2 cosu = 1/secu = -1/2 π &lt; u &lt;3π/2 then 2π &lt; 2u &lt;3π

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

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Q: 1. Use the triangle to the right to find the following (as a fraction and decimalE a) sin ZP d) sin…

A: We have given a right angled triangle PRQ.  We have to find the following trigonometric ratios.

Q: Given that w = cos +i sin 7 find the value of 7' - 7 II2 – w). | j=1

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Q: If cos t =- and t is in the 3nd quadrant, then sin t

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

A: Here we have to find the cosecant function, which is inverse of the sine function.   Use the…

Q: dr + r tan 0 = cos? 0, do = 1. 4.

A: Given DE is drdθ+r tanθ=cos2θ   and rπ4=1 solve the given DE

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: Given that sin(a) = and cos(b) 5 with a %3D 4 sin(a + b) = %3D cos(a - b) = %3D

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Q: 8. Given that sin 0 = , and the angle 0 is in the first quadrant, find the value for cos 0.

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Q: Given 3 sin s = cos s, Find all possible values of sin s

A: Given 3sin(s) =cos(s) Divide both side by 3 We get  sin(s) =cos(s)/3