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Trigonometric Identities — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsTrigonometric Identities1 Mark
MCQ
$(1+\tan A-\sec A)(1+\tan A+\sec A)=$
  • ✓
    $2 \tan A$
  • B
    $2 \sin A$
  • C
    $2 \sec A$
  • D
    $2 \cot A$
✓

Answer

Correct option: A.
$2 \tan A$
(A)$2 \tan A$
$
\begin{aligned}
\text {} & (1+\tan A-\sec A)(1+\tan A+\sec A) \\
= & (1+\tan A)^2-\sec ^2 A=1+\tan ^2 A+2 \tan A-\sec ^2 A=\sec ^2 A+2 \tan A-\sec ^2 A=2 \tan
\end{aligned}
$

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