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Question -

Find the values of other five trigonometric functions if tan x = -5/12, x lies in second quadrant.



Answer -

It is given that

tan x = – 5/12

We can write it as

We know that

1 + tan2 x= sec2 x

We can write it as

1 + (-5/12)2 =sec2 x

Substituting thevalues

1 + 25/144 = sec2 x

sec2 x= 169/144

sec x = ± 13/12

Here x lies in thesecond quadrant so the value of sec x will be negative

sec x = – 13/12

We can write it as

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