Question

find the value of cosec120° =?​

Answer 1

Answer:

a) cosec120 =

b)sec120° =-√2

c)cot120°=

Explanation:

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By TrigonometricRatiosofComplementaryangles:

i)cosec(90+A)=secA

ii)sec(90+A)=-cosecA

iii)cot(90+A)=-tanA

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Now,

a)cosec120

=cosec(90+30)

=sec30°

=

b) sec120°

= sec(90°+30°)

= -cosec30°

= -√2

c) cot120°

= cot(90°+30°)

= -tan30°

= -1/3