3 Find sin 2x, cos 2x, and tan 2x If cosx= and x terminates in quadrant II. sin 2x cos 2x tan 2x

Q: snip

A: Given: The equation is sin 4θ = cos θ4 sin θ - 8 sin3 θ .

Q: 10 - The value of x²J₁(x) x³ J(x) dx is. x-0 a) 8 (2) b) 81₁(2) c) 8/₂ (2) d. 8], (2)

A: To express: J4x  in terms of J0x and J1x Bessel's function: Jnx=∑r=0∞-1rx2n+2r1Γn+r+1 r! Series…

Q: cos y` +y = tanck) %3D

A:

Q: Find sin 5, given that sin x = 2 i and 0<x<5.

A: Here  sin x=14⇒cos x=1-sin2x              ⇒cos x=1-116              ⇒cos x=154 Now, sin2x2=1- cos x2…

Q: If z = tan X 2 then sin x =

A:

Q: 5. sin³0 cos-20d0

A:

Q: If sin 0 + cose =p and sec 0 + cosece = q,show that q (,? – 1) = 2p

A:

Q: Simplify + cosx-1 cosx+ 1

A: Given, Simplify 1cos x+1+1cos x-1

Q: Select the best answer. sin x 1+ cosx + sin x 1+ cosx

A:

Q: Prove that 1-cos2x+sin2x 1+cos2x+sin2x = tan x

A:

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. Prove cos 2x 1-sin 2x cos.x+sin x cos x −sin x

A: We  have to prove that

Q: d. Show that sin 8x + sin 4x cos8x-cos4x = -cot(2x)

A:

Q: tan(C + A)tan(C – A)tan(B+ D) = tan(D – B)

A:

Q: If 4 sin ¹xcos ¹x 4 COS X + 5 7 Find sin² 2x 5 + 1 12 cos² 2x 7 = ?

A:

Q: Verify the identity: [sin 2x + (sin 3x + sin x)]/[cos 2x + (cos 3x + cos x)] = tan 2x

A: Consider the identity, sin2x+sin3x+sinxcos2x+cos3x+cosx=tan2x To apply the trigonometric identity,…

Q: If 2 sin-' p = cos-q, show that 4p² – 4pª + q° = 1.

A:

Q: Show that sin 2x Þ 2 sin x by substituting 30 degree for x and then simplifying both sides.

A: To prove: sin2x≠2sinx For x=30°

Q: f cosece - sin0 = m and sec0 – cos0=n,Prove that „?n) + (mn²) = 1

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.