12. Evaluate Cos 0 -sin & - Bin sin 0 Co3 0

Q: 9 Find 0 if 0 < 0 < 2n and: e cos 0 = - f sin? 0 = 1 9 cos? 0 : 1 %3D /2

A:

Q: if x is in III, and cos x= - 8/17. Determine the exact value of sin 2x and cos 2x

A:

Q: 57 then 3 If 0 sin(0) = cos(0) =

A:

Q: 7T then 6. If 0 = sin(0) = cos(0) = COS %3D

A:

Q: 5m Evaluate sin, cos, tan of 0=

A: on solving this we get the

Q: 4 Suppose that sin e -and <0<1. Find the exact values of cos 2 and tan 2. Cos 2. = D tan, 2) %3D

A: As we know sin2θ+cos2θ=1. cosθ=1-452=1-1625=-35 Using Double angle formula: sinθ2=1-cosθ2=1+352=810…

Q: 5. Evaluate π/3 π/6 cos3 x sin−2 xdx.

A: 5.Solution…

Q: 11T - If 0 = then 6. sin(0) = %3D cos(0) = %3D

A:

Q: S Show that L(cos² 3t – sin² 3t)= 82+36

A: Using Laplace transform,

Q: 19T If 0 then = sin(0) = %3D cos(8) = %3D

A: If θ=19π6We have to find sin(θ),cos(θ)

Q: Suppose <e<0and tan 0 =-2. Evaluate cos e and sin 0. 2/2

A: It is given that,

Q: If tan then 1– 2 1+ z2 COS X 8 |N

A:

Q: – 27 then If 0 3 sin(0) = cos(8) =

A:

Q: Find sin2x, cos2x, and tan 2x if cosx - and x terminates in guadrant III. 13 sin 2x cos 2x tan 2x

A:

Q: 2. What is the exact value of cos()? |(0, 1) (글,

A: Graph is symmetrical in -2 to 2. So the midline of function is y=0.

Q: 3 1 1 Show that sin 0 - cos (20) + cos (40). 8 8

A: To show that: sin4θ=38-12cos(2θ)+18cos(4θ) Solution: Considering LHS: sin4θ On simplifying further…

Q: 25+16 x² (2, Sinx 3 + Cos? x xp 2

A: According to the fundamental theorem of calculus ∫f(x)dx=F(x), where dFdx=f(x). The definite…

Q: Q4: Prove that: cos?x – sin?x cos²x - 1- tan?x

A: We need to prove that cos2x-sin2xcos2x=1-tan2x We will use tanx =sin xcos x

Q: 3 3. Find the value of cos(2x) given that sin x = -and x is in QII.

A:

Q: 15 Find sin 2x, cos 2x, and tan 2x if sinx and x terminates in guadrant III. 17

A: Given that: sinx=−1517 To find: sin2x, cos2x, tan2x

Q: 3 Show that sin' 0 cos“ 0 1 1 cos (40) + 32 cos 128 cos ( 80). 128

A: To prove that,           sin4θcos4θ=3128-132cos4θ+1128cos8θ

Q: 25л then 6. If 0 sin(0) - cos(0) =

A:

Q: 16. Establish the identity: os 0)² + (sin 0- cos 0)2 = 2 %3D

A: We need to establish the identity  (sinθ+cosθ)2+(sinθ-cosθ)2=2

Q: 8 and x terminates in guadrant IV. 15 Find sin 2x, cos 2x, and tan 2x if tanx %3D

A: Given  tanx=-815,  x in quadrant IV

Q: 27. Evaluate: cos 2) - sin 6 4 /3 /2 2 2 1 V2 V3 2 2 1 V2 2 None of the above. + |

A: Hence option (c) is correct.

Q: uppose that sin(a) = 2/8 and cos(b) =1/9 define in the first quadrant, determine cos(a-b). (round to…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 3) The following statements are false. Explain why. a) sin(sin-1(2)) = 2 b) os-'(cos(2n)) = 2n

A: Please refer the attached image for complete solution.

Q: 12 Find sin 2x, cos 2x, and tan 2x if sin x=- and x terminates in quadrant IV. 13 sin 2x %3D cos 2x…

A:

Q: 3. Express into standard form: = = 8[cos (-5) + + sin(-5)] Z i 3 3

A: Solution

Q: VERIFY THE IDENTITIES

A: To verify

Q: If sin x = and t <x < 2 find cos (2x). Enter an exact answer. cos (2x) =

A: We have to find the value of cos(2x).

Q: 57 then If 0 = sin(0) = %3D cos(0) = %3D

A: Given θ=5π6

Q: 3 Verify the identity: csc (0) 1-cos2 (0) cos (20) 2 sin(0) + 2tan(0) cos(0) = %3D sin (0)

A:

Q: Let sin A = 3/5 with A   cos  2 A

A: Given Sin A=35Formula for compound angle Cos2A=1-2Sin2ATo computeCos2A…

Q: 14. An expression that is equivalent to sin 2x is 1- cos 2r tan r

A:

Q: 2 Evaluate: [5 cos(5)x – 5 csc² (x) ] dx COS

A:

Q: Q3-Prove that (cos30=cos³ 0-3cos 0 sin? 0)

A: Using compound angle formula &amp; trigonometric identities.

Q: 2 /5 If cos(a) = - with π<α< compute the exact value of the following: 2 cos(2a)=| sin 2 tan 2

A: To find the required values we need to use the double angle formula and the half angle formulas.…

Q: 11.Show that A cos (ω0t) + B sin (ω0t) can be written in the form r sin(ω0t − θ). Determine r and θ…

A:

Q: – 57 then - If 0 : sin(0) = cos(0) = COS %3D

A: Given : θ = -5π/6 Then, sinθ = sin(-5π/6) = sin(-5×180/6) sin(-150) = -sin(150)         [∴ sin(-θ)=…

Q: 17. Choose the best answer. (- - ) Ifain ( - ). cos z and sin 3 find cos 2 2 1 2 V3 2

A: Here we have to find the value of cos(pi/6).

Q: Find sin 2x, cos 2x, and tan 2x if tanx=-. and x terminates in guadrant IV 3

A: sin 2x= 2 sin x cos x cos 2x=1-2sin2x tan 2x=(sin 2x)/(cos 2x)

Q: 2 COS os²(5æ) sin*(5æ)dr 4

A: This is a problem of integration. Based on the general formula of integration we will solve the…

Q: Prove: sin? xcos?x = - cos(4x). 8.

A: We will use various trigonometric formulas to prove the given identity.

Q: 37 in terms of sin(x) and cos(x). Rewrite cos 4

A:

Q: 17 prove 4 Cos" ☺ - Sin" 0 = Cos20

A:

Q: 3. #5. If tan 0: and sin(0 + T) > 0, what is the exact value of cos 0= 2

A:

Q: 5.3 Evaluate (sin (x)cos“(x)dx

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

Q: 7. Prove the identity. – sin 3 TT -x= 0 2 sin +x 2

A:

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.