can someone please solve number 6 True or False y sin x is

True or False: y = sin x is an odd function. True or False: y = cos x and y = sec x are even functions. True or False: cos (- alpha) = -cos(alpha). If it is false, change the equation to make it true. True or False: sin (-beta) = - sin(beta). If it is false, change the equation to make it true. True or False: y = sin x, y = csc x, y = tan x and y = cot x are odd functions.

Solution

a)y =sinx

sin(-x)=-sin(x)

so y =sinx is odd function

true

b)y =cosx ,y=secx

cos(-x)=cosx, sec(-x)=sec(x)

y =cosx ,y=secx are even function

true

c)cos(-a)=-cos(a) false

cos(-a)=cos(a) true

d)sin(-B)=-sinB true

e)y=sinx ,y=cscx,y=tanx,y=cotx are odd functions

true