Question

tan x = -5/2, x lies in second quadrant​

Answer 1

Answer

Given

tanx=

−

12

5

⇒

cotx=

−

5

12

But

sec 2

1+

tan 2

1+

144

25

=

144

169

∴

secx=

±

1 2

1 3

Since

x

lies in the second quadrant,

secx

is negative

∴

secx=

−

1 2

1 3

⇒

cosx=

−

13

12

sinx=

(tanx)(cosx)=

(−

12

5

)

(−

13

12

)

=

13

5

⇒

cscx=

5

13

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