e) Evaluate y =tan(sin" (x)) by using the definition of trigonometric and inverse trigonometric function. (2...
D1.1. Evaluate f'(a) by using the definition of derivative of a function f(x) = 4x2 + 3x – 5 at a = -2. [4 Marks] D1.2. (a) Find the derivative of y = 4 sin( V1 + Vx). (b) If y = sin(cos(tan(x2 + 3x – 2))), then find the first derivative. [3 Marks] D1.3. Using logarithmic differentiation, find the derivative of y = (sec x)+”.
If sin x = and sin y = 13,0<x< 2,39 < y < 2., evaluate tan (x + y)
Prove the trigonometric identity: sin(x + y) sin(x - y) = sin’x – sin? y. Which identity is used to prove it true? sin(x + y) = sin x cos y - cos x sin y All of these. tan o sin e cos e cos? 0 = 1 - sin? 0
Evaluate lim x→0 [(sin(tan x) − tan(sin x))/x^7?] [sin(tan x) – tan(sin x) 1.2.15 Evaluate lim x 0 7
1-2 cose Solve the following trigonometric identity: cos sin e tan 8 – cote. Show all your steps for full marks. [4T]
Use an inverse trigonometric function to write 0 as a function of x. a e . a=X b = 10 a. A = arcsin 10 b. 10 e = arccos c. A = arccot 10 d. A = arccos 10 e. A = arctan 10
Find the derivative of the trigonometric function. y = sin((rex)5) y'(x) = ||
csc a sin a 1 Simplify to a single trigonometric function using sin a and cos a. 1 Please put the variable in parentheses when entering your answer, for example, tan(a). Type the word theta for when needed.
Verify that the equation is an identity. sin (x-y) tan x- tany sin (x+y) tanx + tany Which of the following statements verifies that the equation is an identity? O A A tan x-tany tanx+ tany sin?(x - y) V1- cos? (x-y) 11 - cos? (x + y) sin(x - y) sin (x+y) O B. sin (x-y) sin cosy - cos x siny sin x- cos y tan x-tany sin (x+y) sin x cos y + cos x siny sin...
Evaluate the six trigonometric functions of the angle θ. sin(θ) = cos(θ) = tan(θ) = cot(θ) = sec(θ) = csc(θ) =