Question

If the angles of ∆ABC are in ratio 1:1:2, respectively (the largest angle being angle C), then the value of `"secA"/"cosecB"-"tanA"/"cotB"` is ______.

Options

• 0

• `1/2`

• 1

• `sqrt3/2`

Answer 1

If the angles of ∆ABC are in ratio 1:1:2, respectively (the largest angle being angle C), then the value of `"secA"/"cosecB"-"tanA"/"cotB"` is 0.

Explanation:-

1x +1x +2x =180°, x = 45°.

∠A , ∠B and ∠C are 45°, 45° and 90°resp.

`"secA"/"cosecB"-"tanA"/"cotB"="sec 45"/"cosec 45"-"tan 45"/"cot 45"=sqrt2/sqrt2-1/1=1-1=0`