Question
From the options given below, select the option which
states the correct combination of correct sentences. I. The rapid expansion of digital infrastructure has significantly enhanced financial inclusion, enabling underserved populations to access formal banking services. II. If the regulatory authorities would have intervened at an earlier stage, the extent of the crisis could have been considerably mitigated. III. The organizationâs performance, as well as its long-term sustainability, depends on its ability to adapt to changing market conditions and technological advancements. IV. Many a researcher have attempted to analyze the implications of such economic transformations, but conclusive evidence remains limited.Solution
I â Correct  Clear structure + logical coherence II â Incorrect âIf⌠would have intervenedâ  Wrong conditional form  Correct: âIf⌠had intervenedâŚâ III â Correct  âperformance⌠dependsâ â correct subject-verb agreement  Proper structure IV â Incorrect âMany a researcher have attemptedâ  âMany aâ â singular verb required  Correct: âhas attemptedâ
Find the value of the given expression.
2 à (sin 30° + tan 45°)
Find the value of the given expression.
5 à (cos 60°)
(tan 5x - tan 3x - tan 2x) = ?
Find the value of the given expression.
2 Ă (sec 60° â sin 30°)

- If sec 2P = sin² 60â° + sec 60â° - cos² 30â°, then determine the value of (â3tan P + cot² P)
Find the simplified value of:

If sinθ = 5/13 for an acute angle θ, find:
(a) cosθ, (b) tan(90° â θ).