If a cos 60° = b cosec 45° then find the value of 7(a/2b)2?1. 142. 2

1.	If a cos 60° = b cosec 45° then find the value of 7(a/2b)2?1. 142. 213. 74. 8
Answer» Correct Answer - Option 1 : 14 Given: It is given that a cos 60° = b cosec 45° Formula Used: Basic concept of trigonometric ratio and identities We know that Cos 60° = 1/2 and cosec 45° = √2 Calculation: We have to find the value of 7(a/2b)² = 7a²/4b² By rearranging the terms we get ∴ a/b = cosec 45°/ Cos 60° ⇒ a/b = 2√2 Now, squaring both the sides ∴ (a/b)² = (2√2)² ⇒ a²/b² = 8 Now, multiply both the side by 7/4 ∴ 7/4 × a²/b² = 7/4 × 8 = 14 Hence, option (1) is correct

If a cos 60° = b cosec 45° then find the value of 7(a/2b)2?1. 142. 213. 74. 8

Answer» Correct Answer - Option 1 : 14

Given:

It is given that a cos 60° = b cosec 45°

Formula Used:

Basic concept of trigonometric ratio and identities

We know that

Cos 60° = 1/2 and cosec 45° = √2

Calculation:

We have to find the value of 7(a/2b)² = 7a²/4b²

By rearranging the terms we get

∴ a/b = cosec 45°/ Cos 60°

⇒ a/b = 2√2

Now, squaring both the sides

∴ (a/b)² = (2√2)²

⇒ a²/b² = 8

Now, multiply both the side by 7/4

∴ 7/4 × a²/b² = 7/4 × 8 = 14

Hence, option (1) is correct