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Trigonometric Identities — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsTrigonometric Identities1 Mark
MCQ
If $\sin\text{A}+\sin^2\text{A}=1$ then $\cos^2\text{A}+\cos^4\text{A}=?$
  • A
    $ \frac{1}{2}$
  • ✓
    $1$
  • C
    $2$
  • D
    $3$
✓

Answer

Correct option: B.
$1$
$\sin\text{A}+\sin^2\text{A}=1$
$\Rightarrow\sin\text{A}=1-\sin^2\text{A}$

$\Rightarrow\sin\text{A}=\cos^2\text{A}$

Now, $\cos^2\text{A}+\cos^4\text{A}=\sin\text{A}+\sin^2\text{A}=1$

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