Question

pls answer fast with working​

Answer 1

If cos A = 1/2

then:

A = 60°

If sin B = 1/√2

then:

B = 45°

tan A = tan 60 = √3

tan B = tan 45 = 1

Thus, your answer:

(√3 - 1)/(1 + √3)

After rationalising, you get:

(3 + 1 - 2√3)/(1 - 3)

= (4 - 2√3)/(-2)

= -2(√3 - 2)/(-2)

= √3 - 2

Answer 2

If cos A = 1/2

then:

A = 60°

If sin B = 1/√2

then:

B = 45°

tan A = tan 60 = √3

tan B = tan 45 = 1

Thus, your answer:

(√3 - 1)/(1 + √3)

After rationalising, you get:

(3 + 1 - 2√3)/(1 - 3)

= (4 - 2√3)/(-2)

= -2(√3 - 2)/(-2)

= √3 - 2