Question
In each of the following questions, a highlighted word
is given followed by three sentences. Choose the sentence(s) in which the word is used correctly. WORD: Perilous The expedition team undertook a perilous journey across the treacherous terrain, fully aware of the risks involved. The economic outlook appeared perilous, with mounting debt levels and declining investor confidence threatening stability. The manager described the meeting as perilous, as it was conducted in a calm and risk-free environment.Solution
Meaning: Perilous = dangerous, risky Sentence 1 → correct (dangerous journey) Sentence 2 → correct (risky economic situation) Sentence 3 → incorrect (calm ≠ perilous) Correct → 1 and 2
Find the value of the given expression.
2 × (sin 30° + tan 45°)
Find the value of the given expression.
5 × (cos 60°)
(tan 5x - tan 3x - tan 2x) = ?
Find the value of the given expression.
2 × (sec 60° – sin 30°)

- If sec 2P = sin² 60⁰ + sec 60⁰ - cos² 30⁰, then determine the value of (√3tan P + cot² P)
Find the simplified value of:

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