Question

If sin Q/1- cos Q + Sin Q/1+cosQ =4(o°<Q<90°)​

Answer 1

Step-by-step explanation:

Given 0≤P,Q≤

2

π

and sinP+cosQ=2

This equation hold only when P=

2

π

and Q=0

2=1+1=sin

2

π

+cos0

⟹sinP+cosQ=sin

2

π

+cos0

⟹P=

2

π

,Q=0

∴ tan(

2

P+Q

)=tan

⎝

⎜

⎜

⎜

⎛

2

2

π

+0

⎠

⎟

⎟

⎟

⎞

=tan

4

π

=1

Hence, tan(

2

P+Q

)=1