Gren that Sin ( 5x-38°)= (Cos (2x +I6") OSnS 90° find the value of

Q: Verify the identity by transforming the lefthand side into the right-hand side.

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Q: Find all angles, 0° <0 < 360°, that satisfy the equation below. 2 sin (0) + cos(0)- 2 = -1

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Q: [sin (21x) dx

A: ∫sin4(21x)dx Note- sin2x=1-cos(2x)2 and cos2x=1+cos(2x)2

Q: 2-Simplify first, then determine the exact value. (i - (sin7t/24 + cos7t/24)2

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Q: 2) Use double-angle formulas to help you prove the identity below. sin (20) 1+ cos (20) tan 0

A: The main objective of the question is to prove RHS = LHS by using double angle formula.

Q: Express 2 sin 13° cos 48° v. as a sum

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Q: Find the value of sin40 cos20 +cos 40 sin20

A: sin40 cos20 +cos 40 sin20we will use  cos(a)cos(t)-sin(s)sin(t)

Q: Use a right triangle to prove the Pythagorean identity: sin²x + cos²x = 1

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Q: Express the given sum or difference as a product of sines and/or cosines. cos 4x + cos 8x Cos 4x +…

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Q: By using substitution, show that x = 4 pi / 6 is a solution to the equation sin (2x) = cos (x). Show…

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Q: If sine = -7/25 and rt < 0 < 3Tt/2, find tane. %3D

A: Given that sinθ = -725 and π&lt;θ&lt;3π2 We need to find tanθ = ? First, we need to find θ from sinθ…

Q: (4) Find the exact value of sin Write your answer in radians in terms of 1. JT sin %3D 2

A: The range of Sin inverse x is -π/2 to π/2

Q: Use the addition formulas for sine and cosine to simplify the expression. cos(s - 9t) cos 9t – sin(s…

A: Given : coss - 9tcos9t - sins  - 9tsin9t

Q: 10. Use trig identities to transform the left side of the equation into the right side. cos(0)…

A: To Prove: sin θcos θ+cos θsin θ=csc(θ).sec(θ)

Q: It COSe + Sin@ TtCose Sin 6 Sine

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Q: 3. with Ae QIII , find sin24 7. If cosA = -.

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Q: If  2sin2 theta  - cos2 theta = 2  then find the value of theta

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Q: 3 sin : Р(а) in QI , P(B) in QII, find 5 If cosa =- N|3

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Q: sin %3D

A: To solve the given first order differential equation.

Q: Solve for θ. Answer in radians. 6sin^2(θ)+sin(θ)-2=0

A: Explanation of the solution is given below...

Q: Find (sin 0 + cos 0)2 if the point (8, -6) lies on the terminal side of the angle 0 in standard…

A: Given: Point (8, -6) lies on the terminal side of the angle θ

Q: Use the Addition Formula for Cosine to prove the Double-Angle Formula for Cosine. cos 2x = cos?(x) –…

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Q: If sine= 2 and sece<0, find cose and tane 2/5 cos e= 2, tane= 3 -25 cose= 3 tan e= 5 5 O sece= 2/3,…

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Q: Find 2 angles (rounded to the nearest 10th of a degree)in the interval [0, 360ﾟ) that satisfy Cos…

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Q: What angle 0, n <0 < 2n, has cose = -sin0? %3D

A: Given that cosθ=-sinθ. Solve the above equation as follows.

Q: Find all radian solutions using exact values only.     2 cos2 x - sin x = 1

A: Find all radian solutions using exact values only.     2 cos2 x - sin x = 1

Q: Find the value of 2 sin2 30° tan 60° – 3 cos2 60° sec2 30°

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Q: If sine + cos0 =p sec0+ csc0 =q Then show that q(p² -1) = 2p

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

A: 1-cos²x=sin²x

Q: If cos a + cos B= a and sina + sin B= b, then show that 2 sin 2a + sin 2B = 2ab 1 a2 + b2

A: given: cosα+cosβ=asinα+sinβ=b we have to show that  sin2α+sin2β=2ab1-2a2+b2 R.H.S: 2ab1-2a2+b2…

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

A: To convert the left side in to right side we use some basic trigonometric identities.

Q: 5- When the (1+cos 0 = 2 sine),the value of (0) from 0° to 360°.

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Q: Find sin 0 and cos 0 if the point 9.37, 7.06 is on the terminal side of 0?

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Q: Find all radian solutions using exact values only.   2 cos x - sec x +tan x = 0

A: Given equation - 2cosx-secx+tanx = 02cosx-1cosx+sinxcosx = 02cosxcosx-1+sinxcosx =…

Q: Cos (atan(½)

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Q: Determine all solutions of the equation in radians. Find cos , given that cos x = and x terminates…

A: To find value of cos x2 given that value of cos x=14 and x terminates in 0&lt;x&lt;π2

Q: 2. The terminal side of angle 0 in standard position goes through the point (-1,-5). a) sin(0) b)…

A: Recall the following. If the terminal side of the angle θ that passes through the point x, y, then…

Q: Cos-Sine++tan e 2tano %3D

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Q: Write the expression in terms of sine only. 3 sin 7xx + 3V3 cos 7Rx

A: given =3sin7πx+33cos7πxr=32+(33)2=6rewrite expression as=6(36sin7πx+336cos7πx)=6(12sin7πx+32cos7πx)

Q: Prove the identity by transforming the left side of the equation to match the right side. Do not…

A: Given identity is 4sin6x+cos6x=4-3sin22x Left hand side of the identity can be written as…

Q: V2. Equivalent of sin45 ° + cos60 ° is which one?

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Q: use a double- or half- form. to solue le equation angle [0, 2TT). in The interval [0, 21). 2 sin? ()…

A: Given,            2sin2θ=2+cos2θ

Q: cos(50) – cos(70) = 0

A: Given: To solve cos5θ-cos7θ=0 From the given equation, a=5θb=7θ

Q: 2) Explain why sin(8) = cos(90-e). %3D

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Q: Simplify cos sin(9z) + sin(3z) s(92)- cos(3z) to an expression involving a single trigonometric…

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Q: 5) Find the value of the Sine, Cosine, Cosecant and Secant, if 0= 240°. sine = csce = 240 cos0 =…

A: Explanation of the answer is as follows

Q: Verify the identity. sin? a – sin a = cos? a – cos“ a

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Q: evaluate cos theta when sin theta = -7/8 and theta is in the IV quadurant.

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