Question 126

If x sin 60°.tan 30° = sec 60°.cot 45°, then the value of x is

Solution

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sin 60° = $$\frac{\sqrt(3)}{2}$$

tan 30 = $$\frac{1}{\sqrt(3)}$$

sec 60 = 2

cot 45 = 1

x $$\frac{\sqrt(3)}{2}$$ $$\frac{1}{\sqrt(3)}$$ = $$(2\times1)$$

x = 4

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