Let α=3 sin ⁻¹(6/11) and β=3 cos ⁻¹(4/9), where inverse trigonometric functions take only the principal values. Given below are two statements: Statement I: cos (α+β)>0. Statement II: cos (α)<0. In the light of the above statements, choose the correct answer from the options given below:

(A) Both Statement I and Statement II are true

(B) Both Statement I and Statement II are false

(C) Statement I is true but Statement II is false

(D) Statement I is false but Statement II is true

Trigonometry: JEE Main 2026 Mathematics question

JEE Main 2026 · 8 Apr, Evening shift · Q12

JEE Main 20268 Apr, Evening shiftMathematicsMediumTrigonometry118× since 2002

Let

\alpha=3\sin^{-1}\left(\frac{6}{11}\right)

and

\beta=3\cos^{-1}\left(\frac{4}{9}\right)

, where inverse trigonometric functions take only the principal values. Given below are two statements : Statement I:

\cos(\alpha+\beta)>0

. Statement II:

\cos(\alpha)<0

. In the light of the above statements, choose the correct answer from the options given below :

JEE Main 2026 Trigonometry Question with Solution (8 Apr Evening shift, Q12) | JEE Arc

JEE Main 2026 · 8 Apr, Evening shift · Q12

JEE Main 20268 Apr, Evening shiftMathematicsMediumTrigonometry118× since 2002

Let

\alpha=3\sin^{-1}\left(\frac{6}{11}\right)

and

\beta=3\cos^{-1}\left(\frac{4}{9}\right)

, where inverse trigonometric functions take only the principal values. Given below are two statements : Statement I:

\cos(\alpha+\beta)>0

. Statement II:

\cos(\alpha)<0

. In the light of the above statements, choose the correct answer from the options given below :