SSC CHSL 4 July 2019 Shift-2

Question 68

If $$\tan x = cot (65^\circ + 9x)$$, then what is the value of x ?

Solution

$$\tan x = cot (65^\circ + 9x)$$

that means,

$$cot (90^\circ - x) = cot (65^\circ + 9x)$$

Hence,

$$(90^\circ - x) = (65^\circ + 9x)$$

Hence, x = $$2.5^\circ$$

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