69. Difference of Two Angles Show that if ß - a = 1/2, then sin(x + a) + cos(x + B) = 0

Q: Siven cos x E and π x<. 5 ", find tan(2x) %3D

A:

Q: 10- Sin'x- cos'x is equal to: a)2x b)1 c)-1

A: 10-sin^2(x) -cos^2(x) We apply trigonometry rule

Q: Solve sin(r) + 4 sin(x) cos(2a) = 0 for x € (0, 5). Give your answer in radians correct to 3 decimal…

A: Soution:Given     sinx + 4sinxcos2x = 0and x∈0,π2 . To find the value of x

Q: 8+tan x dx 1-sin?x i.

A:

Q: et sin 0 =0.851. Compute the value of sin(20). Round your answer to nearest thousandth.

A: We are asked to find the sin2θ

Q: Verify the identity:

A: Our Aim is to verify the identity given below:-sin 3π2-x=-cos (x)  -(i)

Q: 7/4 Find the value of sin(2x) sin(x) dx.

A: First i have made a substitutionso that integral become easy and then integrate them and find the…

Q: 13. Simplify the leftandside so that LHS=RHS sin(b)/cos(b)-1 + sin(b)/cos(b)+1 = -2/tan(b)

A:

Q: ind sin (x - y) given that sin x = 8/17 with 0<x < 90° and cos y = -24/25 with 80° < y< 270°. %3D

A:

Q: 38. Differentiate y = 2 cos² - a. – sint b. - sin 2t C. - sin - d. sin-

A: Differentiate y=2cos2t2

Q: 5. Verify the identity: sin(x- y)cos y+cos(x– y)sin y = sin x

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

Q: sin 2x, Which of the following is equal to sin x cOs x + C 2 sin x + C Option 1 Option 2 sin 2x + C…

A: As we know that the trigonometric identity: sin2x=2sinxcosx And ∫a·fxdx=a∫fxdx Given: I=∫sin2xsinxdx

Q: 4. sin 20 + cos 0 = 0 on the interval [0, 27) *Hint: use Double Angle Formula

A: sin(2θ)+cos(θ)=0We know that ,…

Q: */10 S sin(10z) arctan(sin 5x)dr = ? a)10(7 – 2) - 2 b)- 5 ) 5 (т — 2) T - 2 d)- 10 Ол - 10

A:

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: 4. Find the exact value of cos *x- sin "x-cos (2x). 4 cos x- sinx- cos (2x) = (Simplify your…

A:

Q: – 1) sin a cos a - sin æ 9(cos² e – 1) O 9 tanx + 9 sec a O 9 cot a + 9 cscx O 9 tana + 9 csc a O 9…

A:

Q: 13. cot x = V3 15. cos x = /-

A:

Q: 3. KIN 2 13² cos x V1+sin x dx

A: The given integral, ∫0π2cos x1+sinxdx

Q: 19. Solve for x:x = (tan e + cote)² sin?e - tan?

A: Given that: x=(tanθ+cotθ)2sin2θ-tan2θ

Q: 2. Explain the difference between sin(2x), 2sin (x) and sin? (x).

A: Follow step 2

Q: 36. 10 cos"x 38. 8 sinx cosx 35. 6 sin'x 37. sinx cos x

A:

Q: the sum of sin h 2x and cos h 2x

A:

Q: 12 Sin X de =?

A:

Q: (7/2 cos'x sin'x dx Jo

A: To determine: The integral

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

A: Given,         ∫π2πsin5xcos3xdx

Q: 9. Solve the equation for x if 0 < x < 27. 2 cos x + tan x - sec x = 0 VI

A: The correct option is option A. Use the trigonometric ratios and identities to rearrange the given…

Q: 5. Solve for the values of sin2x, cos2x and tan2x when tanx = 1, on 0 ≤ x ≤

A: Given that,    tanx=12, on 0≤x≤π2

Q: tan? 20° – sin? 20° Compute: Show your work. tan² 20° sin² 20°

A: Given  tan220°-sin220°tan220°sin220°

Q: 8 8. sin 0 = - and tan e < 0 17 csc e = cot 0 =.

A: sinθ  = 817tanθ &lt; 0refering the graph of tanθ we will get the idea about possible values of θ. θ…

Q: (8. e Sin y Ausi Sin 2

A: Solution is written in below steps.

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

A: Given,                                              sin²x + 2cosy…

Q: sin 0 + In + 22+3 = -3 1- cos 20 In y? + 322 - 4 = + 2ln y + 22 =-3 1+ (cot 0)2

A: Given system is  sinθ+ln1y+2z+3=-3 lny2+32z-4=1-cos2θ2 21+cotθ2+2lny+2z=-3

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

A: According to the tangent identity, tan(x)=sin(x)cos(x). We know the value of sin(x) and cos(x), so…

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: y = 4 sin? x +5 cos² x y = sin* 3x – cos* 3x y = csc* x – 21 cot² x y = cot sin

A:

Q: fan? 2 3 sin n x cos xdx

A:

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

A:

Q: 10. Solve the equation for x if 0 < x < 2n. 2 sin x - cot x = csC X

A:

Q: 12. sin 2t – tan t = tant cos 2t - HINT: You will use a reciprocal identity.

A: use the formula

Q: 23-Frove that. Cos3e - Cos'e- 3 Cos e Sin'e

A:

Q: 15. Evaluate | sin° x cos xdx 3

A:

Q: 15 Find sin 2x, cos 2x, and tan 2x if cos x= and x terminates in quadrant I. 17 sin 2x cos 2x tan 2x…

A: Given cos x = 1517 and x terminates in quadrant Iwe find Sin 2x , Cos 2x, tan 2xwe know that in…

Q: Which is equal to (sin⁡x+cos⁡x)^2+(sin⁡x−cos⁡x)^2 using identities?   −2   1   2   −1

A: We have to find

Q: 1 sin cet a = sin" z

A: Given: 1-sin2 xcot2 x=sin2 x To Find: To complete the steps to prove the given identity.

Q: 23, sin 50° + sin 40° 23. sin A VZ cos 5° B 2 cos 10° 2 cos 5° D V2 cos 10°

A: Trigonometric identity: sin x+sin y=2sinx+y2cosx-y2

Q: 2 sin2x – 3 = 3 cos x and 90° < x < 270°

A: Hello , thanks for your question as it is not clear mentioned that it is Sin2 x or sin 2x So we are…

Q: 3. y³x2 – cos- sin x² + esin x = 1 y DIFFERENTIATE THE GIVEN

A:

Q: 3 Which of these is not a solution to the equation sin° (x) = sin (x)? 2 4

A:

Q: 50 a) Sin 25 b) Sin- Sinl0 =? Cosl0° Sin 5° = x, Cos 5° =y Sin 105° - ?

A: