Assertion :Statement 1:In a triangle,the least value of the sum of cosines of its angles is unity Reason: Statement 2: $cos A + cos B + cos C = 1 + 4 sin \frac{A}{2} sin \frac{B}{2} sin \frac{C}{2}$ if A,B,C are the angles of a triangle.

Both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1

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Both the statements are TRUE and STATEMENT 2 is NOT the correct explanation of STATEMENT 1

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STATEMENT 1 is TRUE and STATEMENT 2 is FALSE

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STATEMENT 1 is FALSE and STATEMENT 2 is TRUE

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Solution

The correct option is D STATEMENT 1 is FALSE and STATEMENT 2 is TRUE
In formula $4 s i n \frac{A}{2} s i n \frac{B}{2} s i n \frac{C}{2}$ can't be zero because in triangle angle A, B, C must not zero.
so, statment one is incorrect
and statment two is correct.

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Similar questions

Consider the two statements:

Statement 1: The points A, B, and C will lie on a straight line if $∠ A B D$ + $∠ C B D$ = $180^{\circ}$ .

Statement 2: The angle on a straight line is $180^{\circ}$ .

- 1 :

0 < x < y \Rightarrow {log}_{a} x > {log}_{a} y

a > 1

- 2 :

a > 1, {log}_{a} x

(p \lor q) \land \sim p

\sim p \land q

Choose the correct option.

Statement $1 : (p \land \sim q) \land (\sim p \land q)$ is a fallacy.

Statement $2 : (p \Rightarrow q) \Leftrightarrow (\sim q \Rightarrow\sim p)$ is a tautology.

(p \lor q) \land \sim p

\sim p \land q

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