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cos60-cos45+cosec30÷sec60+tan45-sin30 Related: Previous Year Question...
Trigonometric Values
To solve the expression cos60 - cos45 + cosec30 ÷ sec60 + tan45 - sin30, we first need to determine the trigonometric values involved.
Trigonometric Values:
- cos60 = 1/2
- cos45 = √2/2
- cosec30 = 2 (since cosec is the reciprocal of sin)
- sec60 = 2 (since sec is the reciprocal of cos)
- tan45 = 1
- sin30 = 1/2
Substituting Values:
Now we substitute these values into the expression:
- cos60 = 1/2
- cos45 = √2/2
- cosec30 = 2
- sec60 = 2
- tan45 = 1
- sin30 = 1/2
The expression now looks like this:
1/2 - √2/2 + 2 ÷ 2 + 1 - 1/2
Calculating Step by Step:
1. Division: 2 ÷ 2 = 1
2. Updating the Expression:
1/2 - √2/2 + 1 + 1 - 1/2
3. Combine Like Terms:
- (1/2 - 1/2) + 1 - √2/2
- This simplifies to 1 - √2/2
Final Result:
The final simplified expression is:
1 - √2/2
This result provides the value of the initial expression using fundamental trigonometric identities and values. Understanding these values is essential in solving various trigonometric problems, especially in Class 10 mathematics.
To solve the expression cos60 - cos45 + cosec30 ÷ sec60 + tan45 - sin30, we first need to determine the trigonometric values involved.
Trigonometric Values:
- cos60 = 1/2
- cos45 = √2/2
- cosec30 = 2 (since cosec is the reciprocal of sin)
- sec60 = 2 (since sec is the reciprocal of cos)
- tan45 = 1
- sin30 = 1/2
Substituting Values:
Now we substitute these values into the expression:
- cos60 = 1/2
- cos45 = √2/2
- cosec30 = 2
- sec60 = 2
- tan45 = 1
- sin30 = 1/2
The expression now looks like this:
1/2 - √2/2 + 2 ÷ 2 + 1 - 1/2
Calculating Step by Step:
1. Division: 2 ÷ 2 = 1
2. Updating the Expression:
1/2 - √2/2 + 1 + 1 - 1/2
3. Combine Like Terms:
- (1/2 - 1/2) + 1 - √2/2
- This simplifies to 1 - √2/2
Final Result:
The final simplified expression is:
1 - √2/2
This result provides the value of the initial expression using fundamental trigonometric identities and values. Understanding these values is essential in solving various trigonometric problems, especially in Class 10 mathematics.
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cos60-cos45+cosec30÷sec60+tan45-sin30 Related: Previous Year Questions - Introduction to Trigonometry?
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cos60-cos45+cosec30÷sec60+tan45-sin30 Related: Previous Year Questions - Introduction to Trigonometry? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about cos60-cos45+cosec30÷sec60+tan45-sin30 Related: Previous Year Questions - Introduction to Trigonometry? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for cos60-cos45+cosec30÷sec60+tan45-sin30 Related: Previous Year Questions - Introduction to Trigonometry?.
cos60-cos45+cosec30÷sec60+tan45-sin30 Related: Previous Year Questions - Introduction to Trigonometry? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about cos60-cos45+cosec30÷sec60+tan45-sin30 Related: Previous Year Questions - Introduction to Trigonometry? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for cos60-cos45+cosec30÷sec60+tan45-sin30 Related: Previous Year Questions - Introduction to Trigonometry?.
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