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The value of cos2 17° – sin2 73° is
- a)0
- b)1
- c)-1
- d)3
Correct answer is 'A'. Can you explain this answer?
Verified Answer
The value of cos217° – sin273° isa)0b)1c)-1d)3Correct ...
cos217-sin273
=cos217-sin2(90-17)
=cos217-cos217 (because sin(90-x)=cos x)
=0
=cos217-sin2(90-17)
=cos217-cos217 (because sin(90-x)=cos x)
=0
Most Upvoted Answer
The value of cos217° – sin273° isa)0b)1c)-1d)3Correct ...
cos217-sin273
=cos217-sin2(90-17)
=cos217-cos217 (because sin(90-x)=cos x)
=0
=cos217-sin2(90-17)
=cos217-cos217 (because sin(90-x)=cos x)
=0
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The value of cos217° – sin273° isa)0b)1c)-1d)3Correct ...
Explanation:
Trigonometric Identities:
- The trigonometric identities used here are:
- sin(90 + θ) = cos(θ)
- cos(90 + θ) = -sin(θ)
Calculating cos(217):
- cos(217) = cos(90 + 127)
= -sin(127)
Calculating sin(273):
- sin(273) = sin(90 + 183)
= cos(183)
Final Calculation:
- Therefore, cos(217) * sin(273) = (-sin(127)) * cos(183)
= -sin(127) * cos(183)
= -cos(217) * sin(273)
= -cos(217) * cos(183) (Using trigonometric identities)
- As cos(183) and cos(217) are both cosine functions, their product will be a positive value.
- Hence, the value of cos(217) * sin(273) is 0.
Therefore, the correct answer is 0.
Trigonometric Identities:
- The trigonometric identities used here are:
- sin(90 + θ) = cos(θ)
- cos(90 + θ) = -sin(θ)
Calculating cos(217):
- cos(217) = cos(90 + 127)
= -sin(127)
Calculating sin(273):
- sin(273) = sin(90 + 183)
= cos(183)
Final Calculation:
- Therefore, cos(217) * sin(273) = (-sin(127)) * cos(183)
= -sin(127) * cos(183)
= -cos(217) * sin(273)
= -cos(217) * cos(183) (Using trigonometric identities)
- As cos(183) and cos(217) are both cosine functions, their product will be a positive value.
- Hence, the value of cos(217) * sin(273) is 0.
Therefore, the correct answer is 0.
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The value of cos217° – sin273° isa)0b)1c)-1d)3Correct answer is 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The value of cos217° – sin273° isa)0b)1c)-1d)3Correct answer is 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of cos217° – sin273° isa)0b)1c)-1d)3Correct answer is 'A'. Can you explain this answer?.
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