Question

1
11. If (tan 0 + cot 0) = 5, the
(a) 25
(6) 27
wel odio
cos 60° + sin 60°
12.
= ?
CH
cos 60° - sin 60°
os (a) - (+3+2) (6) - 1​

Answer 1

Answer:Correct option is

A

sinα

cot(α+β)=0

 

∴  

sin(α+β)

cos(α+β)

​

=0     ∴  cos(α+β)=0

α+β=90  

∙

 

 

∴ sin(α+β)=1      cos(α+β)=0  

sin(α+2β)=sin(α+2β+α−α)

=sin[(2α+2β)−α]

=sin[2(α+β)−α]

=sin2(α+β)cosα−cos2(α+β)sinα  

=2sin(α+β)cos(α+β)cosα−[cos  

2

(α+β)−sin  

2

(α+β)]sinα

=2×1×0×cosα−[0−1]sinα

=0+sinα

=sinα

Step-by-step explanation: