sin 0(3sin? 0+ 4cos? 0) = 3 cos 0 + cos³ 0 4. Prove that tan 0

Q: cos 30° + sin 60° V3 Prove that 1+ cos 60° + sin 30° 2.

A: Given to prove : cos30∘+sin60∘1+cos60∘+sin30∘=32…

Q: in−1(x) + cos−1(x) =  ? 2

A: Given that : The equation is sin-1 (x) + cos-1 (x) = π2 .

Q: 1- cos 20+ sin 20 Prove tan e. 1+ cos 20+ sin 20

A: We can prove the given statement as below

Q: 1 + sin 0 1 + sin 0 1 - sin 0 |cos 6|

A:

Q: Prove the identity:  4 sin (3x) cos (4x) = 2 sin (7x) - 2 sin (x)

A:

Q: 47' sin z = x³ . cos z + sin z - 3z² Select one: True False

A: Given that d(x3 sinx)/dx  . Here we derivative of this question with respect to x. We know that…

Q: Prove that: 1-tan? 0 cos? 0 - sin? e %3D 1+tan? 0

A: A function is said to be a rational function if it is given as the ratio of some values.  The…

Q: B) Prove that: 1-tan? 0 cos? 0 – sin? 0 - 1+tan? 0

A: Such identities can be proved by taking one side of the identity and proving it as equivalent to the…

Q: Value of L is 16 $3+9s 16 O(1 + sin 31) 16 O (1 + cos 3t) 16 (1+ cos 3t) 3 (1 - cos 3t)

A:

Q: PROVE: 1+ sin a 1- sin a CSc a + 1 CSc a

A:

Q: Show that sin ( 40) (cos 0) (4 sin 0 – 8 sin³ 0). %3D

A: To show: That sin 4θ=cos θ4 sin θ-8sin3θ. Formula used: sin A+B=sin A·cos B+sin B·cos A cos…

Q: (a) i) Prove that 1 sin20 1 tane 1+ sin20 1+ tane for 0<0 <- 4 ii) Hence, show that the exact value…

A:

Q: Prove the identity. cos(3x) − cos^3 x = − cos x sin^2 x − sin x sin(2x)

A:

Q: Prove: 1. tan (A/2) = - cos A 1 + cos A sin A 1+ cos A 2. tan (A/2) = ±

A:

Q: B) Prove that: 1-tan? 0 cos? 0 – sin? 0 1+tan? 0

A:

Q: 1) Prove that sin 0 tan 0 + cos 0 = sec 0.

A:

Q: 5. cos A =- and sin B =, both A and B in QIl. 6. cos A = - and cos B = - 2, with A and B in QIII. 17

A:

Q: III. Verify the identity. 5.) 1-Cos 2x tan?x %3D 1+ cos 2x

A:

Q: 13. Prove. 1+ tan 0 a) cos 0+ sin 0 = sec 0 1 b) 1- sec 0 1+ sec 0 1 = -2 cot? 0 ,2 c) cos 20- cos…

A: Note : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: Show that sin² 0 cos² 0 8 1 cos (40). 8

A: To show that: sin2θcos2θ=18-18cos(4θ) Solution: We know: 2sinxcosx=sin(2x)    ..(1)cos(2x)=1-2sin2x…

Q: B) Prove that: cos? 0 – sin? 0 1-tan? 0 =- 1+tan? 0

A: B)cos2θ-sin2θ=1-tan2θ1+tan2θRHS1-tan2θ1+tan2θ

Q: 21 Prove the identity.cos x (1 ²x) 2 2. - sin sec X,

A: Consider the given identity cos2x1-sec2x=-sin2x.

Q: 4. Prove the identity csc 0 – sin 0 = cot 0 cos 0.

A:

Q: Verify the identity. 6 cos(sin-1 x) = / 36 – 36x2 Let 0 = sin-1 x = sin 0 = x = X. Thus, 6 cos(sin-1…

A: use trigonometric identity  to verify it.

Q: Establish the identity. 9) sin(20) + cos 0 sin 0 = 3 cos Osin 0

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

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: sin(cos (0.5354)) = O 0.8446 O 1.8446 O -0.1554 O -1.1554 O 2.8446

A:

Q: prove the identity  sin(x) + sin(3x) = 4 sin(x) cos2(x)

A:

Q: 7. Prove: cos(0 + 2) 7) = sine.

A:

Q: II Find sin .2 4), and tan4) from the given in 2. 10 sec(x) = , 270° < x < 360° %3D sin 2 (즐) - %3D…

A:

Q: Prove that sin? 0 – sin* 0 = cos? 0 – cos* 0. cos“ 0.

A: We can use the trigonometric identity, sin2θ+cos2θ=1 sin2θ=1-cos2θ.

Q: Prove the identity: sin(0)-co sin (0) +cos (0)–1 cos (8)+1 sin(0)+1 cos(8)

A: On proving this we will get

Q: 4. Prove that equations are identities. l– cos4x a) tan 2x =, 1+ cos 4x

A: Given:

Q: Prove that sin? 0 + cosª 0 = sin“ 0 + cos² 0.

A: Using fundamental identity of trigonometry.

Q: VERIFY THE IDENTITIES

A: To verify

Q: prove it 5. 2 sin (3x) = 1– cos(6x)

A:

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

A:

Q: sin 0 13. Prove that 1 - = Csc 0(1 + cos 0). Cos 0

A:

Q: 7. Prove the identity. 1-cos 20 tan 0 %3D sin 20

A:

Q: Prove the identity: sin² 0-cos²0 sin 0+ cos 0 = sin 0-cos0 -

A:

Q: 8. Prove the identity sec 0 – cos 0 = sin 0 tan 0

A:

Q: 18. Prove tan (0)+1= sec (0) 19. Solve: 2cos? (3x) + 5cos (3x)- 3 = 0 a. b. 4 cos

A:

Q: Verify the identity. sin 40 = 4 cos '0 sin 0 – 4 sin °0 cos 0

A: To prove that  sin4θ=4 cos3θ sinθ-4sin3θ cosθ

Q: cos 30° + sin 60° V3 Prove that 1+ cos 60° + sin 30°

A: Trignometric ratios are

Q: 17 prove 4 Cos" ☺ - Sin" 0 = Cos20

A:

Q: 1- cos 0 1+ cos 0 sin 0

A:

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

A:

Q: prove it 6. *cos 4x = 1 - 8 sin?x + 8 sintx

A: Prove : cos 4x = 1 - 8 sin2x + 8 sin4x

Q: Prove the identities: (sec 0 – cos 0)(csc 0 – sin 0) = sin 0 cos 0 -

A: Topic - trigonometry