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Trigonometric Identities — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsTrigonometric Identities1 Mark
MCQ
If $\cos A=\frac{3}{5}$, then the value $9+9 \tan ^2 A$ is
  • A
    9
  • B
    16
  • ✓
    25
  • D
    34
✓

Answer

Correct option: C.
25
(C)25
$
\text {} 9+9 \tan ^2 A=9\left(1+\tan ^2 A\right)=9 \sec ^2 A=\frac{9}{\cos ^2 A}=9 \times\left(\frac{5}{3}\right)^2=25
$

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