Question

If 2(4-sin square 45°) = 7(cot x tan 60%) then find x.​

Answer 1

Answer:

The answer will be 60°.

Step-by-step explanation:

2{4-(sin square 45°)} = 7(cot x tan 60°)

2{4-(1/$\sqrt{2}$)^2} = 7(cot x ($\sqrt{3}$))                      (Sin 45° = 1/$\sqrt{2}$ and tan 60° =$\sqrt{3}$ )

(2)(4) - (2)(1/2) = 7 (cot x ($\sqrt{3}$))

8 - 1 = 7 (cot x ($\sqrt{3}$))

7 = 7 (cot x ($\sqrt{3}$))

1 = cot x ($\sqrt{3}$)

cot x = 1/($\sqrt{3}$)

cot x = cot 60°

Thus, x = 60°

That's all.