Question

tan 3x
= sin 45 cos 45+ Sin30​

Answer 1

Answer:

Step-by-step explanation:

R.H.S

sin45⋅cos45  

o

+sin30

=  

2

​  

 

1

​  

.  

2

​  

 

1

​  

+  

2

1

​  

 

=  

2

1

​  

+  

2

1

​  

 

=  

2

2

​  

 

=1

Now,

L.H.S

tan3x=1

But tan45  

o

=1

∴tan3x=tan45

⇒3x=45

⇒x=  

3

45

​  

 

∴x=15.

Answer 2

Answer:

$tan3x = \frac{1}{ \sqrt{2} } \times \frac{1}{ \sqrt{2} } + \frac{1}{2} = \frac{1}{2} + \frac{1}{2} = 1$

$tan3x = tan45$

$3x = 45$

$x = 15$

Ans