Question

If cos A=0.5 cos B=1/root 2 find the value of

Tan A - tan B/1+tan A tanB

Answer 1

Step-by-step explanation:

Correct option is

D

2−

3

cosA=0.5

cosA=cos30

A=30

∘

cosB=

2

1

cosB=cos45

B=45

∘

Now,

1+tan30tan45

tan30−tan45

=

1+tan30tan45

tan30−tan45

=

1+(

3

1

)(1)

3

1

−1

=

3

+1

1−

3

=

(

3

+1)(

3

−1)

(1−

3

)(

3

−1)

=

3−1

3+1−2

3

= 2−

3