Introduction to Trigonometry
CH08 Question Bank
CBSE_CH08_QUESTION_BANK
Grade 10
Question:
If $x = 2\sin^2\theta$ and $y = 2\cos^2\theta + 1$, find the value of $x+y$.
Step-by-Step Solution
Key Concept: Add the two expressions and use the Pythagorean identity to simplify.
$x+y=2\sin^2\theta+2\cos^2\theta+1$. [1.0 Mark]
$=2(\sin^2\theta+\cos^2\theta)+1=2(1)+1$. [1.0 Mark]
$=3$. [1.0 Mark]
Correct Answer:
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