Question

If tan x = sin 45° cos 45 ° + sin 30°, then find the value of x

Answer 1

◆Heya◆

Here's your answer...

Solution :-

tan x = sin 45° cos 45 ° + sin 30°

Substitute the values,

Sin 30 = 1/2

Sin45 = 1/√2

Cos45 = 1/√2

tan x = {(1/√2) × (1/√2)}+ 1/2

Tan x = 1/2 + 1/2

Tan x = 2/2

Tan x = 1

Tan x = tan 45

(Tan gets cancelled)

x = 45

◆The value of x is 45

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Hope this helps you....

Answer 2

solution

if tanx=sin45°cos45° + sin30°

⇒tanx= 1/√2*1/√2 + 1/2

from specials angles

⇒tanx=1/√4 + 1/2

⇒tanx=1/2 + 1/2

tanx=(1+1)/2

⇒tanx=2/2

tanx=1

x=arctan(1)

x=45°