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प्रश्न
Find the value of the following expression:
cos 90° + cos2 45° sin 30° tan 45°
बेरीज
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उत्तर
Given: cos 90° + cos2 45° sin 30° tan 45°
Step-wise calculation:
1. cos 90° = 0.
2. cos 45° = `sqrt(2)/2`
So, `cos^2 45^circ = (sqrt(2)/2)^2`
= `1/2`
3. `sin 30^circ = 1/2`.
4. tan 45° = 1.
5. Multiply the factors:
cos2 45° · sin 30° · tan 45°
= `(1/2) xx (1/2) xx 1`
= `1/4`
6. Add cos 90°:
`0 + 1/4 = 1/4`
The value of the expression is `1/4`.
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