Question

Plz solve question number 5 a
(Trigonometric Equations)
#salute u if u solved it

Answer 1

`\tan\beta+\cot\beta=2`

Recall that
`\cot\beta=\frac1{\tan\beta}`. So if
`\tan\beta\\eq0`, we can multiply both sides of the equation by
`\tan\beta` to get

`\tan^2\beta+1=2\tan\beta\implies\tan^2\beta-2\tan\beta+1=0`

`\implies(\tan\beta-1)^2=0`

`\implies\tan\beta-1=0`

`\implies\tan\beta=1`

`\implies\boxed{\beta=45^\circ,225^\circ}`