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The value of 3 by 4 10 square 30 degree minus sin square 60 degree cos sec square 45 degrees?
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The value of 3 by 4 10 square 30 degree minus sin square 60 degree cos...
Solution:
To solve the given expression, we need to use some trigonometric identities. Let's break down the expression step by step:
Step 1: Evaluate 10 square 30 degrees
We know that sin 30 degrees = 1/2
Therefore, cos 30 degrees = √(1 - sin²30) = √(1 - 1/4) = √(3/4) = √3/2
So, 10 square 30 degrees = 10/(cos 30 degrees)² = 10/(√3/2)² = 40/3
Step 2: Evaluate sin square 60 degrees
We know that sin 60 degrees = √3/2
Therefore, sin square 60 degrees = (√3/2)² = 3/4
Step 3: Evaluate cos sec square 45 degrees
We know that cos 45 degrees = 1/√2
Therefore, sec 45 degrees = 1/cos 45 degrees = √2
So, cos sec square 45 degrees = (1/√2)² x 2 = 1/2
Step 4: Substituting the values in the given expression
Therefore, the given expression becomes:
3/4 x 40/3 - 3/4 x 1/2
= 10 - 3/8
= 79/8
Hence, the value of the given expression is 79/8.
To solve the given expression, we need to use some trigonometric identities. Let's break down the expression step by step:
Step 1: Evaluate 10 square 30 degrees
We know that sin 30 degrees = 1/2
Therefore, cos 30 degrees = √(1 - sin²30) = √(1 - 1/4) = √(3/4) = √3/2
So, 10 square 30 degrees = 10/(cos 30 degrees)² = 10/(√3/2)² = 40/3
Step 2: Evaluate sin square 60 degrees
We know that sin 60 degrees = √3/2
Therefore, sin square 60 degrees = (√3/2)² = 3/4
Step 3: Evaluate cos sec square 45 degrees
We know that cos 45 degrees = 1/√2
Therefore, sec 45 degrees = 1/cos 45 degrees = √2
So, cos sec square 45 degrees = (1/√2)² x 2 = 1/2
Step 4: Substituting the values in the given expression
Therefore, the given expression becomes:
3/4 x 40/3 - 3/4 x 1/2
= 10 - 3/8
= 79/8
Hence, the value of the given expression is 79/8.
Community Answer
The value of 3 by 4 10 square 30 degree minus sin square 60 degree cos...
Bro please write question again clearly. It is not understandable.
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The value of 3 by 4 10 square 30 degree minus sin square 60 degree cos sec square 45 degrees?
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The value of 3 by 4 10 square 30 degree minus sin square 60 degree cos sec square 45 degrees? 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 The value of 3 by 4 10 square 30 degree minus sin square 60 degree cos sec square 45 degrees? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of 3 by 4 10 square 30 degree minus sin square 60 degree cos sec square 45 degrees?.
The value of 3 by 4 10 square 30 degree minus sin square 60 degree cos sec square 45 degrees? 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 The value of 3 by 4 10 square 30 degree minus sin square 60 degree cos sec square 45 degrees? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of 3 by 4 10 square 30 degree minus sin square 60 degree cos sec square 45 degrees?.
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