Question 1 Verify the identity cos(0) sec (0) tan (0) cot (0)

Q: If y = sec x, then y' (sec x)(tan x) - (sec x)(tan x) (csc x)(cot x) - (csc x)(csc x) - (csc x)(cot…

A: Given  y= sec x

Q: Verify the identity: cos(α - β)/(cos α cos β) = 1 + tan α tan β.

A: We will use the identity

Q: Simplify tan (-x) ese(x) cos(x)= А. О В. 1 С. -1 D. sinx

A: tan(-x) cosec (x) cos (x) = [Sin(-x)/ cos(-x)] cosec (x) cos(x)  = [sin (-x)/cos (x) ] cosec (x) cos…

Q: If y = sin x, then y' = - cot x sin x - tan x sec x sec x -sin x - Cs X tan x cos X CSC X

A: Given function is y=sinx. Differentiating the given function with respect to x, we get…

Q: -V5 & cos B<0. 8) cot given tan B = %3D

A:

Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos² (a) COS sin (a)

A: (a) We have to express cos2α in terms of cos2α.

Q: verify the identity tan(x/2) + cot(x/2) = 2 csc x

A:

Q: Question 8 If y = cot x, then y' = - (csc x)(cot x) - (sec x)(sec x) (csc x)(cot x) - (sec x)(tan x)…

A: From the formula, The differentiation of cotx is -csc^2x

Q: If y = csc x, then y' =

A: ddxcosec x=ddx1sinxddxuv=vdudx-udvdxv2Let u=1,  v=sinxdudx=0, dvdx=cosx

Q: 1 + csc x  / cos x + cot x

A: Given information:

Q: Find when u = v = 0 if w = lny1 + x2 – tan-1x and ди

A:

Q: Find the exact value of each expression, if it is defined. (If an answer does not exist, enter DNE.)…

A:

Q: Verify the identity : cos(α - β)/(cos α .sin β) = tan α + cot β

A: Given : cosα - βcosα sinβ = tanα + cotβ

Q: 5л What is the exact value of sin(cos(n)) where n %D

A: The given trigonometric function sin-1cosn where n = 5π2 cosn=cos5π2=0     since cosπ2=0

Q: If y = tan x, then y'

A: Given: y=tan x, To find: y' That is dydx=? Formula Used: ddx(u v)=u dvdx+v dudx ddxxn=n.xn-1

Q: If y = cos x, then y' =

A: Consider the given function: y=cosx Differentiate w.r.t. "x" dydx=ddxcosx=-sinx