Q. 2

Choose the correc

We need to find the value of

Let,

Let us find sin a and cos b.

For sin a,

We know the trigonometric identity, sin2 a + cos2 a = 1

sin2 a = 1 – cos2 a

sin a = √(1 – cos2 a)

Substituting the value of cos a,

We have .

So, we can find tan a.

tan a = 7 …(i)

For cos b,

We know the trigonometric identity,

sin2 b + cos2 b = 1

cos2 b = 1 – sin2 b

cos b = √(1 – sin2 b)

Substituting the value of sin b,

We have .

So, we can find tan b.

tan b = 4 …(ii)

We can write as,

Now, we need to solve Right Hand Side (RHS).

We know the trigonometric identity,

Substituting the values of tan a and tan b from (i) and (ii),

So,

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