Question

Assertion (A): tan² 60° × sec² 45° = 6.

Reason (R): tan 60° = `sqrt3, cos 45° = 1/sqrt2`

Options

• Both A and R are true and R is the correct reason for A.

• Both A and R are true but R is the incorrect reason for A.

• A is true but R is false.

• A is false but R is true.

Answer 1

Both A and R are true and R is the correct reason for A.

Explanation:

tan² 60° = 3 and sec² 45° = 2, 

= 3 × 2 = 6

tan 60° = `sqrt3, cos 45° = 1/sqrt2` both true facts.