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Find the value of the following expression: sin^2 30° + cos^2 60° - Mathematics

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प्रश्न

Find the value of the following expression:

sin2 30° + cos2 60°

योग
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उत्तर

Given: sin2 30° + cos2 60°

Step-wise calculation:

1. `sin 30^circ = 1/2`.

2. `sin^2 30^circ = (1/2)^2`

= `1/4`

3. `cos 60^circ = 1/2`.

4. `cos^2 60^circ = (1/2)^2`

= `1/4`

5. `sin^2 30^circ + cos^2 60^circ = 1/4 + 1/4`

= `1/2`

The value of the expression is `1/2`.

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अध्याय 18: Trigonometric Ratios of Some Standard Angles and Complementary Angles - Exercise 18A [पृष्ठ ३७२]

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नूतन Mathematics [English] Class 9 ICSE
अध्याय 18 Trigonometric Ratios of Some Standard Angles and Complementary Angles
Exercise 18A | Q 12. | पृष्ठ ३७२
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