Question

Show that cos2(45° + 0) + cos?(45° - 0) = tan (60° + 0) tan (30° - 0).​

Answer 1

Answer:

2 (cos  

2

45  

∘

+tan  

2

60  

∘

) - 6 (sin  

2

45  

∘

−tan  

2

30  

∘

)

=2[(  

2

​

 

1

​

)  

2

+(  

3

​

)  

2

]−6[(  

2

​

 

1

​

)  

2

−(  

3

​

 

1

​

)  

2

]

=2(  

2

1

​

+3)−6(  

2

1

​

−  

3

1

​

)=2(  

2

1+6

​

)−6(  

6

3−2

​

) = 7−1=6

Step-by-step explanation: