Home
Class 12
MATHS
Csc 540^(@) is...

Csc `540^(@)` is

A

0

B

`-sqrt(3)`

C

`-sqrt(2)`

D

undefined

Text Solution

Verified by Experts

The correct Answer is:
D
First, determine an angle between `0^(@)` annd `360^(@)` that is coterminal with `540^(@)` by subtracting `360^(@)` from `540^(@)` repeatedly until the result is in this interval. In this case, one subtraction suffices. Since coterminal angles have the same trig values, `csc=540^(@)=csc180^(@)`. sketch the figure below

Inn a quadrantal angle r=1, and the cosecant ratio is `(r)/(y)`, which is undefined.
Promotional Banner

Topper's Solved these Questions

  • TRIANGLE TRIGONOMETRY

    ENGLISH SAT|Exercise EXERCISES|13 Videos

  • TRANSFORMATION AND SYMMETRY

    ENGLISH SAT|Exercise EXERCISES|4 Videos

  • TRIGONOMETRIC FUNCTIONS

    ENGLISH SAT|Exercise MCQs (Exercise)|30 Videos

Similar Questions

Explore conceptually related problems

The value of "cosec"(-750^(@)) is

Prove that : "cosec "65^(@)cos25^(@)+"cosec20"^(@)cos70^(@)=2

Evaluate 3 cos 80 ^(@) cosec 10 ^(@) + 2 cos 59 ^(@) cosec 31 ^(@)

If sintheta+cosec theta=2 , then sin^(2)theta+cosec ^(2)theta is equal to

Evaluate : (i) cosec 82^(@)-sec8^(@) (ii) sec 70^(@)sin 20^(@)+cos 20^(@)cosec 70^(@)

Evaluate: (sec 75^(@))/(cosec 15^(@))

Find the sign of the : cosec (-3020^@) .

Evaluate: "cosec"(-1410)^(@)

(tan(-theta))/(sin(540^(@)+theta))

Show that : cos15^(@)cos35^(@)"cosec" 55^(@)sin30^(@)"cosec"75^(@)=(1)/(2)