tan (a) sec (a) sec3 (a) -da is equal to: - tan (a) sec (a) 4 2sec? (a) + C -2cos? (a) + C -2sec? (a) + C None of above

Q: tan 0 + tan? 0 = sec* 0 - sec² 0

A: This question is taken from trigonometry in which we have to prove the given identity  We can write…

Q: IRI- 2. <| sinz|< -e 2

A:

Q: sin x 14) Simplify: sec(x) tan x A) 1 C) sec² x 7n B) tan(x) D) sin(x)

A:

Q: limg-0 2x sinx 4-4cosx

A: We can find the limit as below, using L'Hospital rule.

Q: Using trigonometric substitution, what is sec-1 (-) √x²-9 6x² + C sec (1) √x²-9 6x² + C sec-¹ √x²-9…

A:

Q: sec2 x dx Evaluate 1+9 tan? x

A:

Q: (sec x -1)(sec x-1)

A: To multiply: (sec x -1)(sec x-1)

Q: Verify the identity.

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

Q: tan x-1 3. tan x - 1 sin? x +3 sin x +2 4. sin x +2

A:

Q: sec (tan-!1+ csc- 1)

A: Givensec(tan-11+csc-11)

Q: cos(sin '()) tan(cos (-)) What is the exact value of ((), Enter your answer, as a simplified…

A:

Q: 4. -1 -1 Sec(tan 1 C8C 1)

A: Given Data: Trigonometric Function: sectan-11+csc-11 The measure of the tangent of 45° is,…

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

A:

Q: Verify the identity.

A: 2cos⁻¹x = cos⁻¹(2x²-1) , 0 ≤ x ≤ 1 RHS = cos-1(2x2 - 1)Let cos-1(2x2 - 1) = AcosA = (2x² - 1)cosA +…

Q: sec2 x + (sec x) (tan x) 1-sin x

A: Consider the identity  sec2x+secxtanx=11−sinx

Q: cos 20 lim Э-п/2 tanө

A:

Q: secx - I 10.) sin*x = 11.) 1- CSC X =- 2tan x sec x %3D sec?x I+ CsC X

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Q: tan² 0 – sec² e :

A:

Q: sin-1 (5n sir a. csC b. 2 sec-(-2). C. csc-1(v2) d. arcsin е. %3D

A: We have to find the values of  (a) sin-1sin5π6 (b) csc-12 (c) sec-1-2 (d) csc-12 = π4    (e) sin-122…

Q: tan(-0) sec(-0)

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

Q: Verify the equation

A: To establish the given trigonometric identity

Q: sin²(x ) jai' (x ) X 3 1

A: The objective is to find the integral, ∫1∞sin2(x)x3dx

Q: e² tan (e²) b) dr I sec2 (e-) – 7

A:

Q: (tan²z+1)° sec² x dr

A: Given,         ∫tan2x+12sec2xdx

Q: tan 3(x+h)-tan 3x 11. The lim A. 3 sec(3x) tan(3x) В. 3 sec? (3x) C. sec²(3x) D. 3 cot (3x)

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Q: sin x cos x 15) Simplify: csc x sec x A) 0 C) tan(x) В) 2 D) 1

A:

Q: sec8 0-1 tan 8 0 sec40-1 tan 20

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Q: sec²x - 1 sec²x 0-1 sinx

A: We will solve.

Q: csc(x)=3     0<x<pie/2  cos(x/2)=? sin(x/2)=? tan(x/2)=?

A: Given that: cscx=3,   0&lt;x&lt;π2

Q: /3 sin -' X- tan 3 4 II

A: This is the problem of real-valued function, inverse trigonometric equations.

Q: sec'x-1 X1-X Sin?x 2 X sec

A: To prove thatsec2x-1sec2x=sin2x

Q: sin Cabo-0 Jo tan (180-0). COS (180+x). (sIn?3C +COS?C)

A: We have to find: sin(360∘-x) ×tan(180∘-x)cos(180∘+x)(sin2x+cos2x)

Q: cos?x- 3 cos x =- 1 on the interval [0,1).

A: Given- 2cos2x-3cosx=-1  To find- the value of x on the interval [0,π) Concept Used- The above…

Q: sec? x 2. csc2 x = sec2 x-1

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Q: sec'e -1 3) sin'e

A:

Q: sec? x-1 sec2 sin“ x

A: We need to verify the identity sec2x-1sin2x=sec2x. So,          Manipulating left side…

Q: sec x.tan x -csc x - tan? tan' x

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Q: sece -csc 4. sec e-1

A:

Q: sin tan - Vx² + 1

A:

Q: (sec x + tan x)2 = (1 + sin x)/ (1 - sin x)

A: Given :(secx+tanx)2=1+sinx1-sinx

Q: Using trigonometric substitution, what is f √x²_9 x3 A sec-¹(²) + √x²-9 2x² + C sec (-)- √x²-9 6x² +…

A:

Q: - sin( - a) + sin-x 元 Simplify sin sin(21- x) 지+ 2

A: Given: sinπ2−x+sin(π−x)+sin3π2−x+sin(2π−x)

Q: sec8 0-1 sec 40-1 tan 8 0 tan 20

A:

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

A: To find out the integration.

Q: sec2 x 23. sec(2x) = %3D 2 sec2 x

A: Prove the following

Q: cos2 x(sec2 x - 1)

A: we know that secx=1/cosx. and the identity sin^2x+cos^2x=1.

Q: (csc a - sec B) + (sec ß + csc a)( sec ß- csc a) = - 2 sec B( csc a- sec B)

A:

Q: Simplify the expression.

A: Given expression is a trigonometric expression. The following expressions will be used: tan θ=sin…

Q: sec-dx 3 - 3 In sec – + tan- + C | 3

A:

Q: sin(3x)cos(3x) sin(2x) 의[cos(2x)-1]+ +C 12 8 4

A: