Determinants
Trigonometric determinant evaluation
nta_pyq_2025_apr
Grade 12
Question:
| sin x cos x sin$x + cos$$x + 1$| 2 | | d y If y(x) = | 27 28 27 | ,x$\ in $R , then$2 + y$is equal to dx | 1 1 1 |
Step-by-Step Solution
Key Concept: Apply the matrix property for trigonometric determinant evaluation and reduce it to determinant or parameter equations.
C$\to$$C - C$3 3 1 | sin x cos x$1 + cos$x | (1) | |$y(x) = 27$28 0 | | | 1 1 0 | y(x) = -$(1 + cos$x)$dy = sin$x dx 2 d$y = cos$x 2 dx 2 d$y + y$= -1 2 dx
Correct Answer: 1