Home
Class 11
MATHS
If cos x=(-3)/(5) " and " .(pi)/(2) lt...

If cos `x=(-3)/(5) " and " .(pi)/(2) lt x lt pi` find the values of
`(i) " sin .(x)/(2) " " (ii) " cos " (x)/(2) " " (iii) " tan " (x)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
`(i) (2sqrt(5))/(5) " " (ii) (1)/(sqrt(5)) " " (iii) 2`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC , OR CIRCULAR, FUNCTIONS

    RS AGGARWAL|Exercise Exercise (15D)|21 Videos
  • THREE-DIMENSIONAL GEOMETRY

    RS AGGARWAL|Exercise EXERCISE 26 C|13 Videos
  • TRIGONOMETRIC EQUATIONS

    RS AGGARWAL|Exercise EXERCISE|21 Videos

Similar Questions

Explore conceptually related problems

If tan x=(-5)/(12) " and " (pi)/(2) lt x lt pi find the value of cos 2x

If sin x=(sqrt(5))/(3) "and " .(pi)/(3) lt x lt pi find the values of (i) " sin " (x)/(2) " " (ii) " cos " (x)/(2) " " (iii) " tan " (x)/(2)

if cos x= (-sqrt(15))/(4) " and " (pi)/(2) lt x lt pi find the value of sin x .

If tan x=(-4)/(3) " and " .(pi)/(2) lt x lt pi find the values of (i) " sin ".(x)/(2) " ""(ii) cos " .(x)/(2) " ""(iii) tan ".(x)/(2)

If tan x=(-3)/(4) " and" (3pi)/(2) lt x lt 2 pi find the value of "(i) " sin 2x , "(ii) " cos 2x , "(iii) " tan 2x

If sec x =- (13)/(12) and (pi)/(2) lt x lt pi , find the value of sin 2x

If cos x=(-3)/(5) " and " pi lt x lt .(3pi)/(2) find the value of (i) "sin 2x "" ""(ii) cos 2x "" ""(iii) tan 2x "

If sin x =(3)/(5) " and " 0 lt x lt (pi)/(2) find the value of tan (x)/(2)

If tan x=(3)/(4) " and " pi lt x lt .(3pi)/(2) find the value of (i) sin.(x)/(2) , (ii) cos .(x)/(2) , (iii) tan .(x)/(2)

If sin x=(12)/(13) "and sin " y= (4)/(5) " where " (pi)/(2) lt x lt pi " and " 0 lt y lt .(pi)/(2) find the values of (i) " sin " (x+y) " "(ii) " cos " (x+y) " "(iii) " tan " (x-y)