If tan x sin(2x) cos(2x) tan(2x) = 1 3 cos x > 0,, then ; ;

Q: If f(x) = = sin (3 – x), then f'(0) O 6 sin 3 cos 3 O 6 cos 3 O -2 sin 3 cos 3 O -2 cos 3 -2 cos O 2…

A: f(x)=sin2(3-x)

Q: sin (x) – cos²(x) Show that 1 F COS %3D CSC (x)

A:

Q: If f(x) = cos a- 5 tanx, then %3D f'(x) = %3D f'(5) =

A:

Q: Salve for x if Arc tan (1- x) + Arc tan (1 + x) = Arc tan

A: Our Aim is to solve for 'x' if tan-11-x+tan-11+x=tan-1x -(i)

Q: Use the identities to find csc(x) and cos(x) if tan(x) =6 and cos(x)

A: Use the identities to find csc(x) and cos(x) if tan(x) =6 and cos(x)

Q: If f(x) = sin x, show that f(x + h) – f(x) = sin x cos h – 1 sin h + cos X h h

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Q: Find the first derivative of y = Arc tan √x² −1+ Arc csc x 2 O 2 O 0 2 Ox√²+1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Wouldn't tan(x+pi)-(-sin(x)) yield tan(x+pi) + sin(x)) instead of tan(x+pi) - sin(x))?

A: Yes , there is a mistake on that question. I give u correct solution .  tan(x + π) - cos( x + (π/2))…

Q: (cos(x)cot(x)/1-sin(x))-1=csc(x)

A: We have given (cos(x)cot(x)/1-sin(x))-1=csc(x)

Q: Use sin + cos2 = 1 to verify the following identity: (a) tan² (x) + 1 = sec²(x) (b) tan(x)sin(x)=…

A: Introduction: Anytime trigonometric functions are used in an expression or equation, trigonometric…

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: If cosx = -2/3 and tanx < 0, then sin(x)= tan(x)=

A:

Q: -1 +tan (x), then

A: Trigonometry: y=cot-1(1x2)+tan-1(x2)y=tan-1(x2)+tan-1(x2)y=2tan-1(x2)

Q: Let f(x) = (7 sin x + 2 cos x)tan-lx f'(x) = %3D

A: topic - derivatives

Q: Find sec(x) and csc(x) if tan(x) =7 and sin(x) >0

A: The objective is to find sec(x) and csc(x) if tan(x) =7 and sin(x) &gt;0

Q: simplify tan(x) 2 sin(5) x - sin(4) x cos(5) x cos(4) x + sin(x)

A: Please find the solution image in explanation section.Explanation:

Q: Find sin(x/2) =  cos(x/2) =  tan(x/2) =  Given tan(x) = 2sqrt2    0 degrees < x< 90 degrees

A:

Q: V1+tan x-V1+sin x Evaluate lim→0

A: Multiply the numerator and denominator by the conjugate of the numerator to simplify the expression.…