Question

Solve for sec x. If sec² x + ¾ sec x=½​

Answer 1

Step-by-step explanation:

Given that,

secx=

2

and

2

3π

<x<2π

secx=

2

=sec315

∘

∴x=315

∘

Now, tanx=tan315

∘

=−1

cotx=cot315

∘

=−1

cosecx=cosec315

∘

=−

2

1+cotx−cosecx

1+tanx+cosecx

=

1−1−(−

2

)

1−1−

2

=

2

−

2

=−1