y" - y = 10 cos x cosh x

Q: Differentiate. y = sec(θ) tan(θ)

A: Given y=sec θ. tan θ⇒dydθ=ddθsecθ.tanθ

Q: Differentiate sin x +1

A:

Q: -y = sin Va

A:

Q: cos-1 (cosx)= x       where..............

A: Given, cos-1cos x=x

Q: - sinx) dx 2. 1. (COSX (ax' +b)*x dx 2. 2/3

A:

Q: sin 2x (1 - 2 cos 2x)? dx 6.

A:

Q: y=sin h(tan x)

A:

Q: COs 2x cotx x – tanx %3D sinx · cOsx

A:

Q: 2- S tan x dx.

A: Given integral is: I=∫0πtan x dx We have to evaluate this integral.

Q: 1 + sin x Differentiate y = x + cos x

A: As we know that: The Quotient rule: fg'=f'·g+g'·fg2 The Power rule: ddxxn=nxn-1 Given:…

Q: cos x sin x = csc 2x cos 3x sec 2x

A:

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

A:

Q: 22х+5 3. х2+20 dx

A: We have  (3) I=∫22x+5x2+20 dx We can write as I=22∫xx2+20+5∫ 1x2+20dxI=22I1+5I2

Q: cos x-sinxtanx=

A:

Q: sin (e3") dr .

A:

Q: 1) sin H = 15 H. 20 25

A: Given, A right angle triangle HJT  right angle at J HJ =15 HT = 25  JT = 20  We have to find the…

Q: [s sec³ x tan5 x dx

A: The given integral is sec3x tan5x.

Q: cos?x- tan2x = 2 – sin?x - sec?x.

A:

Q: Sin °0 = Sec e-cos e Cos O = Sece-COs

A: Consider  sin2θcosθ=secθ-cosθ

Q: Describe some similarities and differences between y = cosx and y = secx.

A: Explanation of the answer is as follows

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.