Find  sin?,cos?,???tan?sin⁡θ,cos⁡θ,andtan⁡θ  if  csc?=−2921csc⁡θ=−2921    and  cos θ < 0.

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A: To verify: cos2xtan2x-1cos2x=-1

Q: 4. If cos(x) = -, and x lies in the 3rd quadrant, find tan(). -2 2.

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Q: Verify that if y = ƒ(θ2 sin θ, then y'(θ) = ƒ'(θ) sin θ + ƒ(θ) cos θ.

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Q: sin? x + 2 cos x – 2 = 0

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Q: Find the exact value of the expression TC TC sin 6. sin 6. COS + COS 2 TC TC sin COS + COS sin 6. 2…

A: We know that sinxcosy+cosxsiny=sin(x+y) and sinπ2+x=cosx

Q: and π 6. If tan y = - <y<7, find sin

A: We have  tany=-115 and π2&lt;y&lt;π we have to find siny2=? by using half angle identity.

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Q: If csc(x) = 4, for 90° < x < 180°, then CS sin() Cos 2 %3D tan 2 %3D

A: formule: 1. cosec(x) = 1/sin(x) 2. tan(x) = sin(x)/cos(x)

Q: Find of: y = Tan? (sin-1(x*)) %3D

A: Find the derivative

Q: Evaluete " 2X Cos(sin --

A: Use the inverse trigonometric identities and simplify.

Q: | sin'x cos' xdx = ? /12

A: Given,         ∫π2πsin5xcos3xdx

Q: Verify the identity. cos 2x cos² r - sin? x

A: We have to solve the trigonometry problem

Q: Differentiate y = sin 20 cos 20

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Q: Express cos { θ + π/2 ) and sin { θ + π/2 } ) in terms of cosθ and sinθ.

A: Given  cosθ+π2, sinθ+π2

Q: f(?) = (? − cos(?)) sin(?)

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Q: 1. cos x |? ecosx sin xdx

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

Q: find

A: Given,           y=2sin22x*3tan-12x

Q: If x=37° and y=44° calculate the value of sin²x + 2cosy

A: Given,                                              sin²x + 2cosy…

Q: 1-cos?x 4. tanx sinxcosx

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Q: ind sin2x, cos 2x, and tan 2.x if tanx = -2 and x terminates in guadrant II. %3D sin 2x ? cos 2x tan…

A: In second quadrant sin is positive and cos &amp; tan are negative.

Q: 2. Show that y = ce sin

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Q: 24 and cos(x)= 25 7 what is the vaule of tan(x) 25 If sin(x)= ? z,

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Q: determine the value of sin^2 x + cos^2 x for x =10 degrees

A: Given x= 10 degrees By trigonometric formula we know that , sin2(x)+cos2(x)=1 where x∈-∞,∞

Q: If cos(t): sin(t) = cos(-t) = 7 and tan (t) > 0, find sin(t) and cos(-t) 10

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Q: 25n B- If cos-1 (cos) = y , Find value of y?

A: B. cos-1cos25π6=y =cos-1cos24+1π6=cos-1cos24π6+π6=cos-1cos4π+π6 cos4π+θ=cosθ =cos-1cosπ6=π6

Q: fan? 2 3 sin n x cos xdx

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. cos(x) = , csc(x) < 0 %3D

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Q: Find sin 2' COS and tan 2 - 2' 1 and 0° < 0 < 90° cs 0 =

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Q: Sz sin?m-10 cos2n-10 = – B(m,n) В (т,п)

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Q: sin (x) = 0.8. If x and y are complementary, what is cos (y)?

A: In the question it is asked to calculate the value of cos(y) for sin(x)=0.8. It is given that x and…

Q: If cos x= √7/4 and 3 π/2 (less than) x (less than) 2 π, find tan x/2

A: If cos x= √7/4 and 3π/2 &lt; x 2π, find tan x/2

Q: If csc(x) = 3, for 90° < x < 180°, then sin() V2 1 V6 2 COS 2 V3+2v2 V6 V 2 - 1 tan 2 V 3 + 2v2

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Q: 5. If x = 3tan 0, find sin e in terms of x.

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Q: If sin x = and cos x < 0, find sin(2x)

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Q: cos x sin'x dx can be evaluated by factoring sin'x as (sin?x)²sinx and transform sin?x into 1– cos²x…

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6, tan(x) < 0 sin(2x) %D…

A: Given that cosecx=6 , tanx&lt;0find out the value of sin2x, cos2x and tan2x

Q: 25n - If cos-1 '(cos = y , Find value of y?

A: For a∈ℝ cos-1(cos a)=a                 (1) Given equation is: cos-1cos25π6=y           (2) Compare…

Q: Find given sin(3x)cos(x). dx

A: Derivative of y = sin(3x)cos(x)

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.