JEE Exam > JEE Questions > Cos(-435°) =a)cos15°b)−cos15&de...
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Cos(-435°) =
- a)cos15°
- b)−cos15°
- c)−sin15°
- d)sin15°
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Cos(-435°) =a)cos15°b)−cos15°c)−sin15°d)si...
Since, cos(−x) = cosx
⇒ cos(−435°) = cos(435°)
= cos(360° + 75°)
= cos(75o)
= cos(90° − 15°)
= sin15°
⇒ cos(−435°) = cos(435°)
= cos(360° + 75°)
= cos(75o)
= cos(90° − 15°)
= sin15°
Most Upvoted Answer
Cos(-435°) =a)cos15°b)−cos15°c)−sin15°d)si...
Cos(-a) is cosa so cos (-435)became cos 435then cos(360+75) so cos (75) if we rewrite in other form as cos (90-15)so by formula it becames sin15
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Cos(-435°) =a)cos15°b)−cos15°c)−sin15°d)si...
Explanation:
Given:
Angle = -435°
To find:
cos(-435°)
Approach:
We know that cosine function is an even function, which means cos(-x) = cos(x) for all x. Therefore, we can rewrite cos(-435°) as cos(435°) and find its value.
Solution:
-435° + 360° = -75°
cos(-435°) = cos(-75°)
Now, we can rewrite -75° as -90° + 15°, and use the cosine addition formula:
cos(a + b) = cos(a)cos(b) - sin(a)sin(b)
cos(-75°) = cos(-90° + 15°)
= cos(-90°)cos(15°) - sin(-90°)sin(15°)
= 0 - (-1)(sin15°)
= sin15°
Therefore, cos(-435°) = sin15°, which corresponds to option D) sin15°.
Given:
Angle = -435°
To find:
cos(-435°)
Approach:
We know that cosine function is an even function, which means cos(-x) = cos(x) for all x. Therefore, we can rewrite cos(-435°) as cos(435°) and find its value.
Solution:
-435° + 360° = -75°
cos(-435°) = cos(-75°)
Now, we can rewrite -75° as -90° + 15°, and use the cosine addition formula:
cos(a + b) = cos(a)cos(b) - sin(a)sin(b)
cos(-75°) = cos(-90° + 15°)
= cos(-90°)cos(15°) - sin(-90°)sin(15°)
= 0 - (-1)(sin15°)
= sin15°
Therefore, cos(-435°) = sin15°, which corresponds to option D) sin15°.
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Cos(-435°) =a)cos15°b)−cos15°c)−sin15°d)sin15°Correct answer is option 'D'. Can you explain this answer?
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Cos(-435°) =a)cos15°b)−cos15°c)−sin15°d)sin15°Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Cos(-435°) =a)cos15°b)−cos15°c)−sin15°d)sin15°Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Cos(-435°) =a)cos15°b)−cos15°c)−sin15°d)sin15°Correct answer is option 'D'. Can you explain this answer?.
Cos(-435°) =a)cos15°b)−cos15°c)−sin15°d)sin15°Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Cos(-435°) =a)cos15°b)−cos15°c)−sin15°d)sin15°Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Cos(-435°) =a)cos15°b)−cos15°c)−sin15°d)sin15°Correct answer is option 'D'. Can you explain this answer?.
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