Question

In the following Questions, A statement of Assertion (A) is followed by A statement of reason (R ). Mark the correct option as:

Assertion (A): ${\sin }^{2}75°+{\cos }^{2}75°=1$

Reason (R) : For any value of $\theta$${\sin }^2\theta +{\cos }^2\theta =1$

• A. Assertion (A) is false but reason (R) is true.
• B. Both assertion (A) and reason (R) are true, and reason (R) is the correctot expalnation of assertion (A).
• C. Assertion (A) is true but reason (R) is false.
• D. Both assertion (A) and reason (R) are true, and reason (R) is not the correctot expalnation of assertion (A).

Answer 1

The correct option is B Both assertion (A) and reason (R) are true, and reason (R) is the correctot expalnation of assertion (A).

we know that${\sin }^2\theta +{\cos }^2\theta =1$so, ${\sin }^{2}75°+{\cos }^{2}75°=1$satisfies the above identity
Hence option A is the correct option.