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.
Complete the identity. sin 2 x 1- 1+ cos x = ? O A. tanx OB. o 0 C. cosx OD. cotx
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...
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].
5. Find all solutions of sin(x) = B. - 26r, 247 ( 245, - 24.7
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)