Question

√2 sin ( 60-a)=1, then a is​ please tell me fast

Answer 1

Answer:

a = 15

Step-by-step explanation:

√2 sin(60 - a) = 1

Move Left hand side value to right hand side.

=> sin(60-a) = 1/√2

The value of sin 45 = 1/√2

=> sin(60-a) = sin 45

=> 60 - a = 45

=> a = 15

Hence, the value of a = 15.

#Hope my answer helped you!

Answer 2

Solution :-

$\sf \sqrt{2} .sin(60 - a) = 1$

$\implies \sf sin(60 - a) = \dfrac{1}{ \sqrt{2} }$

Now we need to know what will be the value θ for sine

We know that

sin 45° = 1/√2

Substituting sin45° in the equation

$\implies \sf sin(60 - a) = sin45^{ \circ}$

Comparing on both sides

$\implies \sf 60 - a = 45$

$\implies \sf 60 - 45 = a$

$\implies \sf 15 = a$

$\implies \sf a = 15$

Hence, the value of a = 15

Let us cross check

$\sf \sqrt{2} .sin(60 - a) = 1$

Substituting a = 15

$\implies \sf \sqrt{2} .sin(60 - 15) = 1$

$\implies \sf \sqrt{2} .sin45^{ \circ} = 1$

$\implies \sf \sqrt{2} \times \dfrac{1}{ \sqrt{2} } = 1$

[ Because sin45° = 1/√2 ]

$\implies \sf 1 = 1$

Therefore, our answer is correct.