Question

If cosec(3x-30)= under root 2 find for X and tan^2(12x/5)

Answer 1

Step-by-step explanation:

Given:-

cosec(3x-30)= √2

To find:-

If cosec(3x-30)= under root 2 find for X and tan^2(12x/5) ?

Solution:-

Given Cosec (3x-30)=√2

=>Cosec (3x-30) =Cosec 45°

=>3x-30=45°

=>3x=45°+30°

=>3x=75°

=>x=75°/3

=>x=25°

The value of x=25°

now the value of tan²(12x/5)

=>tan²(12×25°)/5

=>tan²(300°/5)

=>tan²60°

=>(√3)²

=>3

Answer:-

The value of x=25°

The value of tan²(12x/5)=3

Used formulae:-

• Cosec 45° =√2
• tan60°=√3