O sec sec 0 – 3 = tan 0 – 4

Q: sec² 0 de tan² 0 – 1

A: Integrate the integral.

Q: 9. 4 sec2 0 tan 0 d0 0,

A: The solution is given below

Q: 1- sec 0 tan 0 18) tan 0 = -2 csc 0 1 - sec 0

A:

Q: 7. sec2 x = 2tanx +4 8. tane = 2sine %3D

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: tan (x) = sec (x)

A: We know that  tan(x) = sin(x)/cos(x)  Sec(x) = 1/cos(x)  So ,  sin(x)/cos(x) = 1/cos(x)

Q: Verify the identity.

A: Given: verify the identity tanx2=secx-1tanx for verifying given identity, we solve right hand side

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: Sec'x 16-tanx

A: Since you have asked multiple questions in a single request so we will be answering only first…

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: tan (0) +1 1) sec(e) = sec(0) cos(@) +1 2) tan (0) cos(@) sec(@)-1

A: See the details solution in below

Q: Simplify: cosx sec x – cos² x O cos² x sec x sin x

A:

Q: 2. sec 0 tan 0 sec 8 = tan 0. sec 0 = 1 sec = sec 0 = sec 0

A:

Q: i) sin 0+tan 0 1+sec 0

A: Givensin θ+tan θ1+sec θTo findsimplify thegiven tignometric function

Q: 4 tan(x) sec2 (x) tan(x) + 1

A:

Q: tan e sec³ e de ' O sec '0 de

A: Consider the given integral as ∫tan3θsec3θdθ

Q: establish each identity.

A: To prove: tanθ+secθ-1tanθ-secθ+1=tanθ+secθ

Q: sec^2 y - tan^2 y = sin^2 y + cos^2 y

A: Consider the trigonometric identities mentioned below.

Q: Verify the Identity: sec^6 x (secxtanx) - sec^4 x (secxtanx) = sec^5 x tan^3 x

A: We will use trigo identity to solve this

Q: if Sec X = 2 then tanx +Cos X =

A:

Q: establish each identity.

A: We have to prove the given identity: sec θcosec θ+sin θcos θ=2 tan θ We know the relation between…

Q: tan x csc x(1+ sec x) ove 1- cos x %3D

A: you need to know these formulae before solving the question:

Q: Let tan (0) = 3 with 0 in QI. Find sec (20). 10 sec (20) =

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: sec^2 x + tan x = 1

A:

Q: sin(x+y) Verify that (sec x cos y + sin y csc x) %3D sin(2x)

A: Prove that sin(x+y) /sin2x?

Q: tan (x) sec" (x)dæ

A:

Q: sec(x)sin(x)−2sin(x)=0

A: Explanation of the solution is given below...

Q: sec x Verify that = sin x %3D tan xcsc x Simplify the left side to get the right.

A: To verify the given , identity.

Q: S 5 sec²(0) tan²(0) 25 - tan²(0) de

A:

Q: 2 tan-e 1+ sec 0 + 1 = sec 0

A: We solve this problem by using some trigonometric formula 1+ tan^2(a) = sec^2(a) And  As per our…

Q: tan 0+ tan* 0 = sec* 0 - sec? 0 %3D

A:

Q: 1+tan^2x+sec^2xcot^2x/csc^2x+cot^2xcsc^2

A: we have to solve the given trigonometry equation,  1+tan22x+sec22x cot22xcsc22x+cot22x csc22x

Q: sin 2ø tan² ß do + (sec² ß – 1) cos p dß = 0 B = 2 sin o + c %3D o p = 2 sec² B %3D

A:

Q: 1 sec @ — tanө %3D sece + tan0

A: rationalizing LHS and using trigonometry formula's to get RHS

Q: cos (0) tan (0)+3tan(0)=0

A: cosθtanθ+3tanθ=0

Q: | tan'x sec'x d.

A:

Q: COs o + Sin O = Sec0-tan Sec o CSoco

A:

Q: 10. tan'x sec x dx

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

Q: tan x 3. = sin x %3D secx

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: | tan° xsec* xdx 6 2. Use 1 + tan² x = sec? x to evaluate

A: Solution:

Q: | (tan x)¬3/2 sec² x dx

A:

Q: 1. sec x – tan x sin x = secx 1+cosx 2. = cscx + cotx sinx secosine 3. tan0+cot0 sin20 secß 4. tanß…

A: Here we prove the trigonometry equations.

Q: sec^(2)x+\csc ^(2)x=(\csc ^(2)x)/(\cos ^(2)x)

A:

Q: 3. 1+ tanx tan 2x = sec 2x s*

A: The given identity

Q: 7. tan x + sec 3 =

A: Given:

Q: tan '6 (secx)"dx tan

A: