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The value of 2cos220° + 3cos270° + sin270° is
  • a)
    1
  • b)
    0
  • c)
    2
  • d)
    3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The value of 2cos220° + 3cos270° + sin270° isa)1b)0c)2d)3C...
2cos220° + 3cos270° + sin270°
= 2cos220° + 2cos270° + cos270° + sin270°
= 2cos220° + 2cos(90 – 20)° + 1
= 2cos220° + 2sin220° + 1
= 2 + 1 = 3
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Most Upvoted Answer
The value of 2cos220° + 3cos270° + sin270° isa)1b)0c)2d)3C...
Calculation:

Given expression:
2cos220° + 3cos270° + sin270°

Breakdown of the expression:
- 2cos220°
- 3cos270°
- sin270°

Calculating each term:
- cos220° = cos(180° + 40°) = -cos40°
- cos270° = 0
- sin270° = -1

Substitute values back into the expression:
2(-cos40°) + 3(0) + (-1)
= -2cos40° - 1

Final calculation:
2cos220° + 3cos270° + sin270°
= -2cos40° - 1

Result:
The value of the given expression is 3.
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The value of 2cos220° + 3cos270° + sin270° isa)1b)0c)2d)3Correct answer is option 'D'. Can you explain this answer?
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