Question

If sec 0
V2 and <02m, then
(1 cotxe)​

Answer 1

11th

Maths

Trigonometric Functions

Trigonometric Functions of Sum and Difference of Two angles

If sec theta = √(2) and the...

MATHS

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Asked on December 27, 2019 by

Anuradha Dagha

If secθ=

2

and θ lies in first quadrant . Find value of

1+cotθ−cosecθ

1+tanθ+cosecθ

Hard

ANSWER

secθ=

2

⇒secθ=sec

4

π

⇒θ=

4

π

⇒

1+cotθ−cscθ

1+tanθ+cscθ

=

1+cot

4

π

−csc

4

π

1+tan

4

π

+csc

4

π

=

1+1−

2

1+1+

2

=

2−

2

2+

2

=

2−

2

2+

2

×

2+

2

2+

2

=

4−2

4+2+4

2

=

2

6+4

2

=3+2

2