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

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: 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: Establish the identity: tan 0 + 2 – cot 0

A: Given tanθ+π2=-cotθ By using the following properties…

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: sec 0 +1 – tan 0 , tan 0+ sec0 –-1 Prove : = 2 sec 0 sec 0 +1 + tan 0 tan 0 – sec0 +1

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Q: 2. cot 0= sin 0 = cos 0 = tan 8 = csc = sec 0 = 2

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Q: 1. Prove the trigonometric identity. tan²0 sec 0-1 1 = sec 0

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

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Q: 3. Verify: sec?x cot x – cot x = tan x 1 4. Verify: = cot x tan x cscx sin x

A: TO VERIFY THE FOLLOWING EXPRESSIONS TO PROOF 3. sec2x cotx - cotx = tanx4. 1tanxcscxsinx = cotx…

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

A: We have to prove

Q: 1-sine 13 (sece-tan 0)? %3D 1+sin0

A: We know that the trigonometric identities: i). secθ=1cosθii). tanθ=sinθcosθiii). sin2θ+cos2θ=1…

Q: Prove the identity. tan 0( tan 0 + cot 0) = sec ²e

A: The given identity,      tanθtanθ+cotθ=sec2θ

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: 7) Verify the identity (cot x – csc x)(cos x + 1) = -sin x

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

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

A:

Q: Establish the identity. sec 0 3 sin 0 = 4 tan 0 csc 0 cs 0

A: To prove that secθcosecθ+3sinθcosθ=4tanθ

Q: 4. Verify the identity: (sec 0 + tan 0) (sec 0 – tan 0) = 1

A:

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

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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: 2. Verify the following identities (a) sec e - tan@ =sec 0+tan6 sec 8+tan 6

A:

Q: Establish each identity given in attachment.

A: Given equation: 1+cosθ+sinθ1+cosθ-sinθ=secθ+tanθ

Q: 20) Establish the identity. cot 0 – tan 0 - = cos(20) cot 0 + tan 0

A:

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

A:

Q: 16. (tan 0+cot@y = sec 0+ csc? 0 tant

A:

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

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Q: 17) Establish the identity. 1+ tan?(-0) = sec² 0 %3D

A: Properties of trigonometry used :- 1.) tanx = sinx / cosx  2.) sin2x + cos2x = 1  3.) cos (-x) = cos…

Q: 1. If tan x = -3.5 then tan(-x) = %3D 2. If sin x = 0.8 then sin(-r) = 3. If cos 0.6 then cos( r) =…

A: We know that  sin(-x) = -sinx cos(-x) = cosx tan(-x) = -tanx cot(-x) = -cotx sec(-x) = secx…

Q: 7. Consider the identity _2 tanr 1+tan z sin(2r). (a) Verify the identity. (b) Find sin (4) if tan…

A:

Q: 1) Prove that cose-sin*e 1- tan?e cose

A: Trigonometric identities help to prove the required expression. The algebraic formula…

Q: Establish the identity. sin 0 1 sin 0- 1 1 csc 0

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Q: Find the exact value of the expression. Show work.

A:

Q: Verify the identity. 2 tan(x) 1 + tan2(x) 2 tan(x) sec2(x) sin(2x) 2 tan(x) 1 + tan?(x) 2 sin(x) .…

A: The prove that  (2tanx)/(1+ tan2x) = sin2x

Q: Prove the identity. tan x tan sec x + 1 2.

A:

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

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Q: 2 and 3 Suppose that tan 0 <0<T. Find the exact values of sin and tan JT sin 2 = Undefined tan 2

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Q: 5.) Prove the identity. cot(x) + tan(x) = sec(x)csc(x)

A: To prove that  cotx + tanx = secx.cosecx

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

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

Q: Prove sin 2  x/2=  tan x - sin x / 2 tan  x

A: The given identity is sin2x2=tanx-sinx2tanx

Q: Prove that: sec (0) +tan (0) cot (0)-cos (0) -=sec (0) tan (0)

A:

Q: Prove sin 2 x = 2 cot x  / 1+ cot 2 x

A: We have to prove the given  equation sin2x=2cotx1+cot2x We will use here following trigonometric…

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

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Q: If y = Cot-1 - tan-1x, X then y'

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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…