
verify algebraically
cos(-x) -= sec x + tan x 1+ sin(-x) tan x + cotx=sec X CSC X
4. (3 pts) Verify the identity 1 1 cotx 2 1-COS 1+COS X sinx
Q-2: a) Find the limts of: 1: lim (x cotx) sin 7x 2: lim 4x x²+x-2 3: lim x-x (9 marks) b) Find the derivative of the functions: 1- y= In tanh 2x 2- y = cseh (x+1) (6marks)
y = cos(9.2) dy Find Type sin(x) for sin(x), cos(x) for cos(2), and so on. Use x^2 to square x, x^3 to cube x, and so on. Use (sin(x) y^2 to square sin(x). Do NOT simplify your answer.
Question 1 1 pts Find the derivative of f(x) = cos(sin(3x)). Of"(x) --cos(3x) sin(sin(3x)) O f'() -- 3cos(3x) sin(sin(3x)) Of'(x) - 3cos(3x) sin(cos(3x]) f'x) --sin(3x) cos(cos(3x)) Question 2 1 pts Find the derivative of f(x) = cos(x^2 + 2x). Of "(x)=2x+2 sin(x^2 + 2x) O f'(x)= x^2 sin(x^2+2x) Of"(x)= (2x+ 2) sin(x^2 + 2x) f'(x)= -(x^2 + 2) sin(x^2 + 2x) O f'(x)--(2x + 2) sin(x^2 + 2x) Question 3 1 pts Use implicit differentiation to find the slope of...
Complete the identity. sin 2 x 1- 1+ cos x = ? O A. tanx OB. o 0 C. cosx OD. cotx
show all work
15-18. Verify each identity. 15. tan x + cotx = sec X csc X 16. 1+sin cos B cos B 1-sin B 17. cosa a-sina a sin a cosa = cota - tan a
3) Find absolute maximum and minimum of f(x) = sin x + cos x on [0,1].
Find the range of the following functions
Please solve without using calculus
(vii) f(x)sin (sin x) (viii f(x) cos (cos x) (ix) f(x)sin (sin x)cos (sinr) (x) f(x) cos (sin x)sin (cos x)
(vii) f(x)sin (sin x) (viii f(x) cos (cos x) (ix) f(x)sin (sin x)cos (sinr) (x) f(x) cos (sin x)sin (cos x)
5. Find all solutions of sin(x) = B. - 26r, 247 ( 245, - 24.7