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If θ < 90°, find the value of: sin2θ + cos2θ - Mathematics

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Question

If θ < 90°, find the value of: sin2θ + cos2θ

Sum
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Solution

Since θ <90°,
Consider θ = 45°
∴ sin2 + cos2
= sin245° + cos245°

= `(1/sqrt(2))^2 + (1/sqrt(2))^2`

= `(1)/(2) + (1)/(2)`
= 1.

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Trigonometric Equation Problem and Solution
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Chapter 27: Trigonometrical Ratios of Standard Angles - Exercise 27.1

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Frank Mathematics [English] Class 9 ICSE
Chapter 27 Trigonometrical Ratios of Standard Angles
Exercise 27.1 | Q 19.1
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