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Trigonometric Identities — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsTrigonometric Identities1 Mark
MCQ
$9\sec^2\text{A}-9\tan^2\text{A}$ is equal to:
  • A
    1
  • ✓
    9
  • C
    8
  • D
    0
✓

Answer

Correct option: B.
9
Given,
$9\sec^2\text{A}-9\tan^2\text{A}$
$=9(\sec^2\text{A}-\tan^2\text{A})$
We know that, $\sec^2-\tan^2\text{A}=1$
Therefore, $9\sec^2\text{A}-9\tan^2\text{A}=9$
Hence, the correct option is (b).

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