Statement-1 (A): In Fig.9.16, the trigonometric ratios of angle d… - Vidyadip

MCQ

Statement-1 (A): In Fig.9.16, the trigonometric ratios of angle $\theta$ depend only on the value of $\theta$ and are independent of the position of the point $P$ on the terminal side $A Y$ of angle $\theta$.

Statement-2 (R) : In a right triangle $A B C$ right angled at $B$, if $\angle B A C=\theta$, then $\sin \theta=\frac{B C}{A C} < 1$ and $\cos \theta=\frac{A B}{A C} < 1$ because the hypotenuse $A C_{\text {is }}$ the longest side.

A
Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1.
✓
Statement-1 and Statement-2 are True; Statement-2 is not a correct explanation for Statement-1.
C
Statement-1 is True, Statement-2 is False.
D
Statement-1 is False, Statement-2 is True.

✓

Answer

Correct option: B.

Statement-1 and Statement-2 are True; Statement-2 is not a correct explanation for Statement-1.

(B)Statement-1 and Statement-2 are True; Statement-2 is not a correct explanation for Statement-1.
Statement-1 is true (see Theorem on page 462 of the main book).
Statement-2 is also true but it is not a correct explanation for statement-1. Hence, option (b) is correct.

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