Home
Class 11
MATHS
Find the values of the following : i) ...

Find the values of the following :
i) `tan (19pi)/3 `
ii) `sec(-22pi)/3`

Text Solution

Verified by Experts

i) `tan(19pi)/3= tan(19 xx 180^(@))/(3)`
`=tan(1140^(@))`
`=tan(3 xx 360^(@) +60^(@))`
`=tan60^(@)=sqrt(3)`
ii) `sec(-22pi)/(3)=sec(22pi)/(3)=sec(22 xx 180^(@))/(3)`
`=sec1320^(@)`
`=sec(3 xx 360^(@) + 240^(@))`
`=sec240^(@)=sec(180^(@)+60^(@))`
`=-sec60^(@)=-2` Ans.
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3A|12 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3B|24 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos

Similar Questions

Explore conceptually related problems

Find the value of the following: tan^(-1)(tan((7pi)/6))

Find the values of the following: (i) tan105^0 ( ii.) tan((13pi)/12)

Find the values of the trigonometric function tan (19pi)/3

Find the value of tan pi/8 .

Find the principal values of the following (i) tan^(-1) (tan. (2pi)/(3)) (ii) tan^(-1) (tan (-6))

If tanA = 12/5 and pi lt A lt (3pi)/(2) , find the values of the following: i) sin2A ii) cos2A iii) tan2A

If sinA = -5/13 and pi lt A lt (3pi)/(2) , find the values of the following: i) sin(A/2) , ii) cos(A/2) , iii) tan(A/2)

If tanA=-3/4 and pi/2 lt A lt pi , find the values of the following: i) sin(A/2) ii) cos(A/2) , iii) tan(A/2)

If cosA=-3/5 and pi/2 lt A lt pi , find the values of the following: i) sin2A , ii) cos2A , iii) tan2A

Find the principal values of the following : (i) sin^(-1)(sin.(5pi)/(3)) (ii) cos^(-1)cos((4pi)/(3)) (iii) cos [(pi)/(3) + cos^(-1) (-(1)/(2))]