Question

tan89 • tan 1
tan 40•tan50

Answer 1

tan89° * tan1°

=tan89° × cot(90-1)

=tan89× cot89

=1

tan 40×tan50

=tan40×cot(90-50)

=tan 40×Cot40

=1

Answer 2

Answer:

1) 1 ,2)1

Step-by-step explanation:

1)tan 89 * tan 1

=tan 89 * tan (90-89)

=tan 89 * cot 89 [ tan (90-A) = cot A]

=1 [ tan A * cot A = 1]

2) tan 40 * tan 50

= tan 40 * tan (90-40)

= tan 40 * cot 40 [ tan (90-A) = cot A]

= 1 [ tan A * cot A = 1]