sin (-0) cos² (-0) Establish the identity: cos 0 sin 0 sin (-0) - cos (-ø)

Q: cos(- 3. Find the exact value of '12' 4 sin' x 2 sin(2x) = 4. Prove tan x

A: 3 We have to find exact value of cosπ12          since we know that cosπ6=32          since we…

Q: sec x- sin xtan x= cos

A: see 2nd step

Q: sin² 0 = cos ( sin e 1-sin²0 cos 8 tan 0 sec 0 - cos 8 Trigonometric Identity: (

A:

Q: sin 0- cos 0+1 sin0+1 (c) sin 0+ cos 0-1 cos 0

A: Given: sinθ-cosθ+1sinθ+cosθ-1=sinθ+1cosθ

Q: Cos 40 x Cos 50 - Sin 40 x Sin 50.

A:

Q: sin30+sine 2tane 27.i) Show that cos30+cose 1-tan2e Prove that: sin(sin 'e - cos e) = 20-I for 0s0S…

A: Use trigonometric and inverse trigonometric identities to prove the given expressions.

Q: sin x – 2+ csc x (c) sin x – 1 sin x CSc x sin x + 1 | 1 (d) cos(tan-l x) = V1+ x² 1+cos u (e) Using…

A: We have to answer following Questions.

Q: sin 0- cos 0+1_ sin0+1 sin 0+cos0-1 (c) cos e

A: consider LHSLHS=sinθ-cosθ+1sinθ+cosθ-1multiply and divide by cosx LHS=(sinθ-cosθ+1)…

Q: Establish each identity.

A: Consider the given identity sin θsin3θ+sin5θ=cos θcos3θ+cos5θ   Consider the LHS LHS=sin…

Q: cos 0-sin 0 cos e sin 0+cos 0 Verify the identity algebraically: sec 0 csc 0. sin e

A:

Q: Quadrants of: cos-0>0, sin -0>0   Quadrants of: cos 0>0, csc 0<0

A: We have to find quadrant

Q: cos 0+cos 0 tan 0

A: 1+ tan²θ = sec² θ    cos θ = 1/ sec θ   use both we will simplify

Q: sin (z+ in terms of sin(x) and cos(r). 4 Rewrite sin + -

A: Topic = Trigonometry

Q: Cos e sin 0 sin 0 + cos 60 (1 - tan 0) (1- cot 0)

A: cosθ1-tanθ+sinθ1-cotθ=cosθ1-sinθcosθ+sinθ1-cosθsinθ=cos2θcosθ-sinθ+sin2θsinθ-cosθ=cos2θcosθ-sinθ-sin…

Q: sin 3x Prove the identity 4 cos x- sec x. sin x cos x

A: To proove: sin3xsinxcosx=4cosx-secx

Q: sin(20) – cos(20) - 1 sin 0(sin 0 – cos 0) 2. Prove: 2 cot e

A:

Q: 1+sin(2x) 6) Prove the trigonometric identity = 1+ sec(x) csc(x) sin(2x)

A:

Q: sin 2a + sin 4a 15. cota %3D Cos 2a - cos 4a

A:

Q: Establish each identity given in attachment.

A: Given equation: sinθ-cosθ+1sinθ+cosθ-1=sinθ+1cosθ

Q: sin(x) cos(x) xp (cos(x))2

A:

Q: sin( + 0) - cos( + 0) = %3D cos 0 sec Ө CSc e sin 0

A:

Q: sin 0 1 + cos 0 Establish the identity: 2 csc 0 1 + cos 0 sin 0

A: given sinθ1+cosθ+1+cosθsinθ=2cosecθ

Q: establish each identity.

A: Our Aim is to prove sin θ cos θcos2 θ-sin2 θ=tan θ1-tan2 θ -(i)

Q: cos 0 cos 30 - sin 0 sin 30 = 0 on the interval 0, 27) %3D *Hint: use Addition or Subtraction…

A: Use addition formula cos(A+B)=cosAcosB-sinAsinB

Q: 1. Prove Trigonometric Identity (a) cos (sec) - cos 0) = sin2 0 cose (b) (c) 1-sin 0 1+cos 0 cose =…

A:

Q: Establish each identity given in attachment.

A: Consider L.H.S. : sin θ+cos θsin θ-cos θ -sin θcos θ=sin θcos θ-sin θ cos θ -sin2 θ sin θ cos θ =sin…

Q: cos2r - cos4r - Cos4r sin2r + sin4r cos2r + cos4r sin2r - sin4r = cot x tan x sin x COS X I3D

A: Solved the given problem using concept of trigonometric identities.

Q: sin x 1 where x is in the 2nd quadrant. Find cos x and tan x = -

A: We use Pythagoras theorem (Hypotenuse)2 = (perpendicular)2 +(Base)2   We use Trigonometry ratios…

Q: (sin 0+cos 0)² 3. sin?0-cos20 sin²0-cos²0 (sin 0-cos 0)²

A: (Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: ) cos(cos-¹(35)) ) sec(tan-¹(5)) csc(sin-¹(n)) ) cos ¹(cos(29°)) (4π) 5 =) sin ¹[sin ]]

A:

Q: sin 40 + sin 20 12. cos 48 + cos 20 A- tan 30 B B tan 0 cot 30 D D cot 0

A:

Q: Simplify: sin(-x) 1 – cos(-x 6 x 1 sin x cos x - O None of these -12 csc x -12 sec x 12 csc x

A: Sin(-x)        =-Sin(x) Cos(-x)        =Cos(x) Sin2x+Cos2x=1 cosec(x)       =1/sin(x)

Q: cos? 0 1- sin 0 I+ sin 8. Prove that 1 + cot 0 csc 0 sin 8+ co. Prove that tan? 0 1+ tan? 0 sin? 0.…

A:

Q: cos(x+π6)+sin(x−π3)=______

A:

Q: cos 0 - sin 0 tan (-0) = %3D 4 cos 0 + sin 0

A: tan(π4-θ)=cos(θ)-sin(θ)cos(θ)+sin(θ) LHS tan(π4-θ)=tan(π4)-tan(θ)1+tan(π4)tan(θ) [Because Angle…

Q: sin(16x) cos(8x) =;(sin( x) + sin( -8 2))

A: Let the given trigonometric function be y - y = sin(16x)cos(8x)Divide and multiply by 2 on the right…

Q: cos- 0 + sin 0 = 1 COS

A: We know values of basic sin and cos, like sin0 = 0 = sinpi , sinpi/2 = 1 cos0 = 1 , cospi = -1,…

Q: sin x+ tan x sin (2x) 5. Determine the non-permissible values of the identity 1+ cos x 2 cos x Cos3x…

A: Solve using properties trigonometric identities

Q: sin (x-b) If it is known that sin (b) = - 1, It is equivalent to 1+tan²(x)' O a) cos (x) Ob) – cos…

A: Some of the important identities of trigonometry are as follows:  sin2x+cos2x=1 secx=1cosx…

Q: sin? x+2 sin x+1 1+sin x Establish the identity: cos² x 1-sin x

A:

Q: sin e, sine cose cose 1 tan 2 0 O2 cot 0 2 tan 0

A:

Q: sin 20 · cos 0 + sin² 0 = 1

A:

Q: sin3 (x) + sin(x) cos2(x)

A:

Q: 2 sine – sin 20 lim 8--0 sine -0 cos0 Evaluate

A:

Q: Simplify the identity :   :      sin2 x cos x /Cos 2 x  sin x

A:

Q: Sin 40 x Cos 20 + Sin 20 x Cos 40.

A:

Q: |A) sin (207 +x) = sin(x) B) The function cos(x) has domain [0,2pi). | C) cos³ (x) = cos (x*) = COS

A: A. sin(20π+x)=sin(2×10π+x)=sin(x) Hence the given statement is  sin(20π+x)=sin(x) TRUE   B. The…