Question

Assertion (A): sin² 42° + sin² 48° = 1

Reason (R): sin² 42° + sin² 48° = sin² (42° + 48°) = sin² 90° = 1

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

A is true but R is false.

Explanation:

Assertion: sin⁡² 42^∘ + sin⁡² 48^∘ = 1 is true, since 0.449 + 0.551 ≈ 1. reason is false, because sin² A + sin² B ≠ sin² (A + B)