2, x lies in second quadrant.2.sin x =

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Solution

Given trigonometric function is,

sinx= 3 5

Write the expression of Pythagorean identity.

cos 2 x+ sin 2 x=1

Substitute the value of sinx .

cos 2 x+ ( 3 5 ) 2 =1 cos 2 x=1− 9 25 cos 2 x= 16 25 cosx=± 4 5

For second quadrant, cosx=− 4 5

Write the expression of reciprocal relation.

secx= 1 cosx secx= 1 − 4 5 secx=− 5 4

Write the expression of reciprocal relation.

cosecx= 1 sinx cosecx= 1 3 5 cosecx= 5 3

Write the expression for tanx .

tanx= sinx cosx tanx= 3 5 − 4 5 tanx=− 3 4

Write the expression of reciprocal relation.

cotx= 1 tanx cotx= 1 − 3 4 cotx=− 4 3

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