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Question
Find the value of x in the following: tan x = sin45° cos45° + sin30°
Solution
tan x = sin45° cos45° + sin30°
⇒ tan x = `(1)/sqrt(2) xx (1)/sqrt(2) + (1)/sqrt(2)`
⇒ tan x = `(1)/(2) + (1)/(2)`
⇒ tan x = 1
⇒ tan x = tan 45°
⇒ x = 45°.
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