Home
Class 11
MATHS
For z = a+bi, if (a,b)nlies in the third...

For `z = a+bi`, if (a,b)nlies in the third quadrant, then `argz = `

A

`-pi + tan^-1(abs(frac{b}{a}))`

B

tan^-1(frac{b}{a})

C

`2pi + tan^-1(abs(frac{b}{a}))`

D

`frac{pi}{2} + tan^-1(abs(frac{b}{a}))

Text Solution

Verified by Experts

The correct Answer is:
`
Promotional Banner

Similar Questions

Explore conceptually related problems

If sintheta=(-4)/5 and theta lies in the third quadrant, then cos(theta/2) =

If A lies in the third quadrant and 3 tan A- 4 =0, then 5sin2A + 3 sinA + 4cosA=

If sin theta =-4/5 and theta lies in third quadrant, then the value of cos (theta/2) is ............... A) (1)/(sqrt5) B) -(1)/(sqrt5) C) sqrt((2)/(5)) D) -sqrt((2)/(5))

If A lies in the third quadrant and 3 tan A-4 = 0, then 5 sin 2A + 3sinA + 4 cosA is equal to ........... A) 0 B) (-24)/(5) C) (24)/(5) D) (48)/(5)

If sinA/3=sinB/4=1/5 and A,B are angles in the second quadrant,find the value of 4cosA+3cosB

If sinA/3=sinB/4=1/5 and A,B are angles in the second quadrant then prove that 4cosA+3cosB=-5

If sin theta =(24)/(25) and theta lies in the second quadrant, then sec theta + tan theta= ............ (A) -3 (B) -5 (C) -7 (D) -9

If theta lies in the first quadrant and 5 tan theta = 4 , " then " (5 sin theta - 3 cos theta )/( sin theta + 2 cos theta )= .............. A) 0 B) 1 C) 1/6 D) 5/14

Find the other trignometric functions if cot x= (3)/(4) and x lies in the third quadrant

If sin A= 4/5 and cos B =- 12/13, where A and B lie in first and third quadrant respectively, then cos (A+B)= .................. A) (56)/(65) B) -(16)/(65) C) (16)/(65) D) -(16)/(56)