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If triangle ABC is right angled at C , then the valie of cas(A+B) is?
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If triangle ABC is right angled at C , then the valie of cas(A+B) is?
Understanding Triangle ABC
In a right-angled triangle like ABC, where the right angle is at C, we can analyze the angles A and B. In any triangle, the sum of the interior angles is always 180 degrees.
Sum of Angles in Triangle ABC
- Since triangle ABC is right-angled at C:
- Angle C = 90 degrees
- Therefore, Angle A + Angle B = 90 degrees
Using the Cosine of the Sum of Angles
Now, we want to find the value of cos(A + B).
- Since A + B = 90 degrees, we can use the cosine identity:
- cos(A + B) = cos(90 degrees)
Value of cos(90 degrees)
- The value of cos(90 degrees) is 0.
Conclusion
- Therefore, in triangle ABC, where C is the right angle, the value of cos(A + B) is:
- cos(A + B) = 0
This conclusion aligns with the properties of right-angled triangles, emphasizing that the angles A and B are complementary.
In a right-angled triangle like ABC, where the right angle is at C, we can analyze the angles A and B. In any triangle, the sum of the interior angles is always 180 degrees.
Sum of Angles in Triangle ABC
- Since triangle ABC is right-angled at C:
- Angle C = 90 degrees
- Therefore, Angle A + Angle B = 90 degrees
Using the Cosine of the Sum of Angles
Now, we want to find the value of cos(A + B).
- Since A + B = 90 degrees, we can use the cosine identity:
- cos(A + B) = cos(90 degrees)
Value of cos(90 degrees)
- The value of cos(90 degrees) is 0.
Conclusion
- Therefore, in triangle ABC, where C is the right angle, the value of cos(A + B) is:
- cos(A + B) = 0
This conclusion aligns with the properties of right-angled triangles, emphasizing that the angles A and B are complementary.
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If triangle ABC is right angled at C , then the valie of cas(A+B) is?
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If triangle ABC is right angled at C , then the valie of cas(A+B) is? 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 If triangle ABC is right angled at C , then the valie of cas(A+B) is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If triangle ABC is right angled at C , then the valie of cas(A+B) is?.
If triangle ABC is right angled at C , then the valie of cas(A+B) is? 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 If triangle ABC is right angled at C , then the valie of cas(A+B) is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If triangle ABC is right angled at C , then the valie of cas(A+B) is?.
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