Prove: sin (2 cos x)= 2x1-x² %3D

Q: VERIFY THE IDENTITY : sin (2A) cos (2 A) = sec (0) %3D sin (e) Cos (e)

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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: 4 e 3 Find the exact value of sin 20. 25 6 25 25 25

A: Given: sin 2θ=2 sin θ cos θ         =2 4535         =2425

Q: If sin (2x) = cos (x + 30), what is the value of x ? 20 O30 110 50

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Q: 5. Which of the following has the largest value? A. sin 2 B. sin 2 C. cos 2 D. cos' 1

A: A. Let sin-112=x. 12=sinx12=sin30° B. Let sin-132=x sin-132=x32=sinx32=sin60°.

Q: Find sin(즐), con(쓸). and tan from the given information. 2. cos(x) 24 180° < x< 270° 25 7 sin) = 2 5…

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Q: if cos(X+pi/6)+sin(x-pi/3)=A, then the number A =

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Q: 7. cos A = ar and sin B = 5 with A and B in QI. 13

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Q: 5 and 13 3.) Find cos given that sin x < x < t %3D

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Q: 12 If sin 0 = 0<0 37' <0<5, find the exact value of each of the following. 2 (a) sin (20) (b) cos…

A: We need to find trigonometric ratios

Q: 3 x in quadrant I, then find (without finding x) 4 If sin x - sin(2x) I %3D cos(2x) tan(2x) : %3D

A: use trigonometric ratio to find the trigonometric function

Q: 3. Which is equal to (sin a + cos a) +(sin r cos a) using identities? CO O 2 -2 О-1

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Q: Simplify the identity, show all steps. sin(x) 1+cos(x) 1. 1+ cos(x) sin(x)

A: We use identities  sin2(x) +cos2(x) = 1  1/sin(x) = csc(x)

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

A: To find sin(x+y)

Q: O E sinødø The is equal to cos+Ø tan3ø + C А. sec?Ø В. + C 3 sinØ С. +C 3 cos'Ø D. + C 3 E.None of…

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Q: Verify the identity. (Simplify at each step.) (1 + sin a)(1 – sin a) = cos? (1 + sin a)(1 - sin a) =…

A: Simplification

Q: Evaluate the expression under the given conditions. 2/5 sin(0 + 4); sin(0) = O in Quadrant I, cos(4)…

A: 1. sin and cos are positive in Quadrant I 2. Sin is positive and cos is negative in Quadrant II 3.

Q: =-5 13 sin(x) : x in Quadrant II

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Q: d) Verify the identity sin 0 tan 2, 1+ cos e

A: To prove:

Q: If sin a x in quadrant I, then find (without finding x): 8 %3D sin(2x) = %3D cos(2a) %3D tan(2z) =…

A: Given that: sinx=18, x is in quadrant I.

Q: Express the given quantity in the form a + ib. cos(6-7i) cos (6) cos(7h) + i sin (6)sin (h7) eBook X

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Q: 4. Prove that the identity is true. 1- cos“ e sin? e 1+ cos e

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Q: Verify the identity. (Simplify at each step.) (1 + sin a)(1 – sin a) = cost - cos? a (1 + sin a)(1 –…

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Q: 11. cos (x) = sin (x + 20)° %3D I Answer:

A: We will use the trigonometric identity written below to answer this

Q: and 9o c oc 180 Sin e = Gf Cos 2 SUPPOSE that find exact values and tan 2. Cos tan

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Q: 2/5 If cos a = and sin a < 0, find the exact value of cos (a +) Show the formulas you are using.

A: The trigonometric function value is given by cosα = 255 and sinα&lt;0 To evaluate : The value of…

Q: 1 and 0 is in the 2nd quadrant, find sin(0) 9 If cos(0)

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Q: Let sin 0 = 12/13, and cos 0 = 5/13, and find the indicated value. %3! %! sec 0 = %3D

A: Given ,  sin θ = 12/13  cos θ = 5/13 We have to find sec θ Since ,

Q: If cos 0 = and tan 0 >0, then sin 0 13 %3D А. 5 12 12 В. 13 С. 12 13 D. 12

A: Given,cos θ=-513tan  θ&gt; 0

Q: Given that sin(x) = 11/61, and 0<x <<x< pi/2 %3D Find cos(2x).

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Q: The Pythagorean Identity states that: (sin x)2 + (cos x)2 = 1 %3D Given cos 0 = , find sin 0. 8 17…

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Q: 1. Using the figure below, find sin(20) and cos(20). 3 8

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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: Evaluate the expression under the given conditions. sin(8 + 9); sin 8 = 8 in Quadrant I, cos 22√5 85…

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Q: (1 + sinx)? + cos²x = 2 1+ sin x

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Q: 2. cot 20 = Csc8- 2 sin e 2 cos 0

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Q: If sin 0 0, which of the following is TRUE? (i) tan 0 > 0 (ii) sec 0 < 0 neither (i) nor (ii) only…

A: Use Trigonometric identity to check the statement.

Q: Use the given information to express sin 20 and cos 20 in terms of x. x = 9 sin e with 0 <e < 1 2…

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Q: G. Determine the value of B that will satisfy the following. a) sin (4B + 10°) = cos 6B b) sec (3ß –…

A: we have to determine the following

Q: If sin A = 3/5 with A in QII, find the following. Express your solution as a fraction. FIND COS A,…

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Q: 7 If Sin A = . Cos B = where A, BE]0,[ then 25 find the value of Sin (A+B), Cos (A-B)

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Q: Solve for tan(A – B) if sin(A) = and A is in Q1 and if cos(B) = - and B is in Q3. 25 [Hint: Use the…

A: Given: sin(A) = 4/5 and A is in Q1 and cos(B) = −7/25 and B is  in Q3.

Q: 1 x in quadrant I, then find (without finding x) 4 If sin x = sin(2æ) = cos(2x) tan(2x)

A: Given: sin x=14 and x in quadrant I

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: Evaluate the expression under the given conditions. 2/5 sin(0 + o); sin 0 = = =, 0 in Quadrant I,…

A: -1/√5

Q: 4(cos 310° + i sin 310°)

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Q: find the exact value of the given expression cos(7pi/12)cos(pi/6)-sin(7pi/12)sin(pi/6)

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Q: e the given equation. (Enter your 2 sin²(®) + cos(@) = 1

A: 2 sin2 θ +cos θ =1⇒2 1-cos2 θ+ cos θ=12-2 cos2θ + cos θ =12 cos2θ -  cos θ +1-2=02 cos2θ -  cos θ…

Q: Prove the identity sin30 cos 30 = 2 cos e sin 0

A: The given equation is sin3θsinθ-cos3θcosθ=2 the objective is to prove the identity. the formula for…