1- sin 0 Prove that = sec 0 - tan 0 1+ sin e

Q: (A) Verify the identity (i) (1 + tan² x)(1 - sin2x) = 1 sec x - 1 %3D tan x (ii) tan x sec x + 1 1+…

A: We have to prove the identities.

Q: tan 0+sec 0-1 1+sin e 8. %3D tan 0-sec 0+1 cos 8 Proof:

A: Topic:- trigonometry

Q: tan x csc² x-tan x sin x tan +cos x cos² cos? x csc x Prove Show all work to receive credit

A: Apply the basic trigonometric formulas and simplify the terms.

Q: 2-tana 11. If Sin(x+ a) = 2Cos(x - a); prove that : tan x = 1- 2 tan a

A:

Q: 2 Using the relation 2 (1 cosx) x, V x € (0, - · 4)

A: A relation is given by, 21-cosx < x2, where x≠0. The objective is to use the given relation to…

Q: 11 csc2 (-0) tan 0 cot(-0) Establish the identity: - sec2 e

A: Given,

Q: tan 0 7. lim 0→0 sin 20

A: We will solve the problem by evaluating the limit.   NOTE :: As per our guidelines we are supposed…

Q: (1+sin2x)/(sin2x)=1+(1/2)(sec x)(csc x) prove identity

A: Left hand side:1+sin(2x)sin(2x)=1sin(2x)+sin(2x)sin(2x)=1sin(2x)+1=12sin(x)cos(x)+1  [using double…

Q: d Proof Prove that [cos x] dx - sin x. -

A: To prove ddxcos x=-sin x. In order to prove the given derivative, use the definition of derivative…

Q: Lan: prove (:) - - 4. sin x tan =1- cos x

A:

Q: 1. If tan x = 2 then tan( - x) : %3D 2. If sin x = 0.7 then sin( – x) 3. If cos x = 0.7 then cos( –…

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Q: number 2. Prove the identity: ( [tan] ^2 e - (sin] ^2 0) / ( [sin] ^2 e) = [tan] ^2 e

A:

Q: Sin 0= 4. tan 0>0 Part 1 of 3 (a) sin 20 = Part 2 of 3 (b) cos 20=

A:

Q: Establish each identity.

A: To Solve the given identity By using the trigonometric ratio :- 1+sin θ1-sin θ = sec θ + tan θ2

Q: 1. Verify the identity. Show all steps. sin x tan² x-sin x = tan x (tan x – 1) cos x sin x+cos x

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

Q: Establish the identity. (sec 0+ tan 0)( sec 0- tan 0) = 1

A: We have to prove

Q: sin 2x+cos2x+1 1- Prove cot x sin 2x-cos 2x+1 2- Sinh (u-v) = Sinh u.Cosh v - Cosh u.Sinh v %3D

A: Evaluate the following 1-prove sin 2x+cos 2x+1/sin 2x-cos 2x+1=cot x 2-sinh(u-v) = sinh u.cosh v-…

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

A: To proove: sin3xsinxcosx=4cosx-secx

Q: 9. Establish the identity 1- sec 0 tan 0 2 cot 0 tan 0 1- sec 0

A:

Q: Prove the identity. 1+ tanh(x) = e2x 1- tanh(x) 1 + cosh(x) 1+ tanh(x) 1- tanh(x) 1 cosh(x) cosh(x)…

A:

Q: Prove the identity: csc 0 x tan 0 = sec 0

A:

Q: 1 Verify the identity 1 = 2 tan x sec x %3D 1-sin x 1+sin x

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Q: 1- cos'z tanxsinz consider the identity cotasinz verify the identity for the values x= 3

A: Trigonometric identities application

Q: Establish each identity.

A:

Q: 9. Verify the identity 1 1 = 2 sec² x 1-sinx 1+sin x

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Q: = cot-" (2), a > 0 sin at Prove that L() = cot™

A:

Q: 2- tana 1. If Sin(x+ a)= 2Cos(x-a); prove that: tan x = 1-2 tana 2 If Siu

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Q: 24. Prove the identity sec(x) (sin(x) + cos(x)) sec(x) + 2 sin(x)

A:

Q: Verify the identity.   1 + sin x 1 − sin x  −  1 − sin x 1 + sin x  = 4 sec x tan x

A: The given identity is,

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: Verify the identity. 1 + sin(x) 1 - sin(x) 1- sin(x) 1 + sin(x) 4 tan(x) sec(x)

A:

Q: TT True or False tan 0 • cos 0 sin 0 for any 0 # (2k + 1) %3D

A:

Q: 3 tan 0 tan' 0 Show that tan 30 = 1-3 tan? 0

A:

Q: sin x cot x (1 – COs x Prove - (sec x+1)

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

Q: 15. Verify the identities: a) csc x -sin x = cos x • cotx b) tan²0 1 + sece 1 - cose cose

A:

Q: sin 3x-sin x Prove tan x. cos 3x+cos x

A:

Q: I+ cosx+ cos 2x (ii)Show that sin x+ sin 2x tan 20 - tan 0 = tan 0 sec20 cotx (iii) (iv) (cose -…

A:

Q: rove the identity. sin(3x)/sin(x)cos(x)=4cos(x)-sec(x)

A:

Q: tan x a) Prove (sec x – cos x)(csc x – sin x) %3D 1+(tan x)² b) Solve 2(tan x)² – 5 tan x –3 = 0…

A:

Q: Prove the identity. sin(n-x)сos(n+x)tan(2π − x) T 3π 3π sec+ x)csc(³7-x)cot (³7 + x) = sin^x - sin²x

A: I have appended the formula used in the solution part of the question

Q: sin 2x +sin 8x/cos 2x + cos8x =tan5x. Prove the identity

A: We start with left side. And we use sinA+sinB = 2sin((A+B)/2)cos((A-B)/2) and…

Q: (1-sinA) (1+sinA) Prove that- =(secA-tanA)

A: Given question is wrong. Actual question is 1−sinA1+sinA=secA−tanA2 We have to prove that…

Q: Prove that 1+ sin 0 tan 0 cos 0 + cot 0. Prove that (tan 0 + cot 0)2 1 sin² 0 ' sec2 0 + =

A:

Q: sin 3x 39.lim tan 6t 41. lim 50 sin 21

A: We will use the l'hospital rule to fine the limit of 39.  To fine limit 41. We will use the basic…

Q: Prove: 1 + 1 = 2 sec? x 1-sin x 1+sin x

A: Prove   1/(1-sinx) + 1/(1+sinx) = 2sec2x

Q: sin 0 sin 0 2 1- cos 0 1+ cos e tan 0

A:

Q: sin x cot x (1 – cos x Prove -- sec x | 1) Show all work to receive credit

A: We have to prove

Q: Prove the identity sin(7 – 0) = sin 0. %3D

A:

Q: Prove the identity. 4(tan(x) – cot(x)) tan2(x) – cot2(x) | = 2 sin(2x) %3D

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

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.