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

Q: sec² 0 de tan² 0 – 1

A: Integrate the integral.

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: 5 sec2(0) de tan(0)

A: let I=∫5sec2(θ)tan(θ)dθ

Q: establish each identity.

A: To prove this identity first we will use the result log(a)+log(b)=log(ab). Then the identity…

Q: tan 5. CoS sin 12

A:

Q: 4. у %3D sec^0 - tan'ө

A:

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

A:

Q: cos x-cos(5x) Prove identity: tan(2x) sin x+sin(5x)

A:

Q: 1 sec 0 – tan 0 - sec 0 + tan 0

A: secθ-tanθ=1secθ+tanθconsider left hand side=secθ-tanθmultiply numerator and denominator by…

Q: secl tann

A: Use first principle rule and prove that  dydx=sec x tan x, if y=sec x

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

A:

Q: siny=x^2 Then find the value of tany

A: Given query is to find the value of tany.

Q: 2 1. sin 0 == and sec 0 > 0 2. sece = - and tan 0 > 0 3

A:

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

A:

Q: 2 sin(0) tan(0) + tan(0) = 1 + 2 sin X

A: Topic:- trigonometry

Q: sin (3x) + cos (3x) cos(x) – =1+4sin(x)cos(x)

A: We use sin(3x)= 3sinx-4sin3x and cos (3x)= 4cos3x-3cosx .

Q: Establish each identity.

A:

Q: 2. cotx = sin xsin π 2 --x+cos² x cotx

A:

Q: sin 2x 4. tan x = %3D 1+cos 2x 19 5. tan %3D = CSC X - cot x

A:

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

A:

Q: (sec^ 2 beta-1).tan( pi/2 - beta)=tan beta

A:

Q: arctan(−1)= arccsc(csc(5π/2))= sec−1(−tan(3π/4))= tan(cos−1(−7/12))= sec−1(−1)=…

A: arc tan(-x) =-arc tan(x) arc csc(csc(x)) =x Note : According to our guideline, we can solve first…

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

A:

Q: cos(sin−1(2/3))= cos(cos−1(−3/8))= cot(cot−1(−10))=

A:

Q: sin x COsx Prove 2tanx secx - - cosx 1+ sin x

A: We use the identity sin2x + cos2x=1

Q: tan x -cot x sin x cos X %3D tan2x-cot2x 1-sin x %3D 1+ sin x 4. (sec x- tan x)² 3.

A: 3)tanx-cotxtan2x-cot2x=sinxcosxL.H.Stanx-cotxtan2x-cot2x=tanx-cotxtanx+cotxtanx-cotx=1tanx+cotx=1sin…

Q: arcsin(sin 30 ) = 1 2 O1 O -1 O 30

A: Given:        arcsinsin30∘

Q: 4 sin 0-2 csc 0= 0 with 0 degrees

A: We use sin0=0 and csc0=1/sin0

Q: 8 sin x cos x sec x =

A:

Q: 1-cosx sinx B: Prove sinx 1+cosx 1-cosx C: Prove tan? 2 2 1+cosx

A: As per our guidelines we are supposed to answer only one or two question. Kindly repost other…

Q: 6. SHOW THAT tan (tan" + tan) =

A: We prove this.

Q: 1. If tan x = -3 then tan (-x) =  2. If sin x = 0.3 then sin (-x) = 3. If cos x = 0.2 then cos (-x)…

A: Answer 1. We know that  sin(-x)=- sinx and cos(-x)= cos x  tan x= sin xcos xHence  tan (-x)= sin(-…

Q: 2. 2) tan- 1 4) sin- 6) tan-1 V3 -1 01_ V3 10) sin -1 2. 12) tan-! 3.

A:

Q: arcsin (0.3)=

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: tan x- 1 1. tan (x - 45°) = tan x + 1 1- tan 0 2. tan (45° - 0) = 1+ tan 0

A: Basic trignometry problem

Q: 1+sin θ=(sec θ-tan θ)^2 +1

A: To evaluate theta.

Q: sin^2 x + sin x cos x over cos x − 2 cos^3 x

A: This question is based on Trigonometric Formulas to simplify question.

Q: (5) f(x) = cos (5 - 2x) (7) f(x): = cos (√x³ + 1) (9) f(x) = cot (x5) (6) f(x) = cos (4x7 + 3) (8)…

A: Note: As per company guidelines we solve only first three subparts when multiple parts question…

Q: COs x + sinx COS x - Sln x - sin = 2 tan 2x %3D Cos x- sin x COS x + sin x

A:

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: 4. (tanx)(1 - cot x) = tan x - 1

A: Given  (tanx)(1-cotx)=tanx-1 Let's verify the identity as shown below

Q: sec2 (0) S tan (0)-484

A: To find out the integration.

Q: cos 2x-sin x 4. -(tan x +secx) %3D sin 2x - cos x

A: Given: prove that cos2x-sinxsin2x-cosx=-tanx+secx For verifying given expression, we solve left hand…

Q: sinx + sin 2 Evaluate | cosx A. -In cos x|– x+ C В. In'secx-x+ C C. -In|sec x|+ x+C D. In sec x|+x+C

A:

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

A:

Q: 5.) cos (x -) + sin ( – x) = cos x cos (x -) + sin ( - x) = 3

A: Since multiple questions are asked, according to guidelines answering first question. Cos60 =1/2…

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

A: Square on both sides of the given relation We get