tane+tana B: prove that tan(0 + a) 1-tanetana

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: -3t Compute the exact value of tan -3T tan 8.

A:

Q: .2 -If tan -1 = 0, then prove that x2 sin 2 a. %3D

A:

Q: Prove the identities. 2 tan x (a) tan 0 sin 0 + cos 0 = sec 0 (b) 1 + tan?x sin 2x

A: To Determine: prove the identities  Given: we have  tanθ sinθ+cosθ=secθ Explanation: we have an…

Q: .2 -1 -If tan - a, then prove that x2 sin 2 a. %3D

A:

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

A:

Q: cotA+tanA Prove that sec2A. cotA - tanA

A:

Q: 1. Verify the following identities. sec4 x - tan4 x 2 sec2 x - 1

A: We have given the identity

Q: Prove the identity. sec2 (x/2)= 2 sec x + 2/sec x + 2 + cos x

A: The given equation is,

Q: True or False tan(2θ) + tan(2θ) = tan(4θ)

A: Given trigonometric expression is, tan2θ+tan2θ=tan4θ.   The given statement is False.   By apply the…

Q: Verify the identity: sec4 x - sec2 x = tan4 x + tan2 x.

A:

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

A:

Q: Prove the identity. 4. 4. sec"x tan"x = (tan"x+ tan°x) secx 9. tan 'x+ tan x) sec x

A: 1+ tan2x = sec2x

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

A:

Q: Prove the identity. 1/(sec(x) - tan (x)) - tan(x) = sec (x)

A:

Q: Verify the identity:(1 - tan2 x)/(1 + tan2 x)= cos 2x

A: Given 1-tan2x1+tan2x=cos2x

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

A:

Q: Prove the identity 1+ tanz 1- tanz - t (-+ ) tan (

A:

Q: Verify the identity: tan (π/4 + α) - tan (π/4 - α) = 2 tan 2α

A:

Q: a-X Tan" 1+ ax Differentiate

A:

Q: Is it true that tan (tan-x) = x for all x? Is it true that tan-(tan x) = x for all x?

A: Given statements are tantan-1x = x  for all x. tan-1tan x = x  for all x. We have to check if these…

Q: Prove the identity. 1+ tan 0 1 + cot0 = 0 1- cote %3D 1- tan 0

A:

Q: How Prove that? 2tanX tan 2x 2 1- tan x

A:

Q: Show that tan-1 ( 1/v ) = π/2 - tan-1 v, if v > 0.

A: To prove tan-11v=π2-tan-1v, let  x=tan-1v then tan x=v1tan x=1v Since  tanx=1cotxcotx=1v ⋯ (1)

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

A:

Q: Verify the identity: sec 2x = sec2 x/(2 - sec2 x)

A: To verify indentity: sec2x=sec2x2-sec2x Solution:…

Q: what is the general solution for -1=2tan(x) + tan2(x)

A: Simple calculation of trigonometric ratio

Q: Prove that ? 2tan X tan 2X 2 1-tan x

A:

Q: A) How does 1/2[(1-cosx)/(sinx)+(sinx)/(1-cosx)] equal on of these: secx, cosx, sinx, tanx, cotx,…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Prove the identity 1+ tanz 1- tanz = tan (r

A:

Q: a-X Differentiate Tan" 1+ ax

A: Given:- tan-1a-x1+ax To find Differentiate given function

Q: Verify the identity. sec5 x tanº x = (tanóx + tan3 x)sec3 x

A: By using basic trigonometric formulas we can easily verify the given relation.

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. V3 + tan(x) tan(x + ) - 1- V3 tan(x)

A:

Q: Prove the equation sec2 x csc2 x = sec2 x + csc2 x is an identity.

A: Given equation is, sec2csc2x=sec2x+csc2x

Q: tan (3/r²) а) b) (In r)? c) Evaluate tanr dr

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

Q: Prove one of the following identities. 1-tan2 x 2 tan x Cos 2x = sin 2x 1+tan2 x 1+tan² x

A: Please check step 2 for the solution.

Q: Prove the identity. tan(x +) V3 + tan(x) 1-V3 tan(x) tan(x) + tan= tan(x + ) V3 + tan(x) 1- V3…

A: Here we have to prove the identity     tan(x+π/3) = (√3+tan x)/(1- √3 tan x)

Q: Prove sec theta-tan theta=1-tan theta/2/1+tan theta/2

A: We have to prove that, sec θ-tan θ=1-tanθ21+tanθ2

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

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

Q: The tan function is the same exact function as the tan-1 function O True O False

A: The answer of the above ques is

Q: Algebraically find all exact solutions to 7-tan(3-x)-4 /3 = 11 -tan(3-x) in the interval [0,2TT) X=

A:

Q: Prove that: tan-¹ z = In( 2 Note: tanz = And sin z = COS Z = ‚i+z. sin z COS Z eiz-e-iz 2i eiz te-iz…

A:

Q: Prove. Show all steps. cos x + sin x tan x = sec x

A: Given,         cosx+sinxtanx=secx

Q: tan0+tana B: prove that tan(0 + a) 1-tanotana

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…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.