Question

Find the value of x in each of the following : tan x = sin 45° cos 45° + sin 30°

Answer 1

SOLUTION :

Given :  

tan x = sin 45° cos 45° + sin 30°

tan x = 1/√2 × 1/√2 + 1/2

[sin 45° =1/√2, cos 45° =1/√2 , sin 30°=1/2]

tanx = ½ + 1/2

tan x = (1+1)/2

tan x = 2/2 = 1

tan x  = 1

tan x = tan 45°

[tan 45° = 1]

x = 45°

Hence, the value of x  is 45°.

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Answer 2

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please refer to the attachment above

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