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We are given the expression: 1 + tan²(cos⁻¹x) Recall the trigonometric identity: 1 + tan²θ = sec²θ So, 1 + tan²(cos⁻¹x) = sec²(cos⁻¹x) Now use the identity: sec(cos⁻¹x) = 1 / x (since cos⁻¹x gives an angle whose cosine is x) Therefore: sec²(cos⁻¹x) = (1/x)² = 1/x²
When something is unclear
Facade
Select the correct Antonym of the given word.
rebuke
A) Puzzle B) Mingled C) Separate D) Wonderful
...The film had a riveting storyline that kept the audience engaged.
Select the most appropriate synonym of the underlined word in the given sentence.
Rahul was sharing some of his childhood stories and they were...
Select the option which is the antonym of the given word.
FRAIL
