Question

If tan x=sin450.cos450+sin300 then x=​

Answer 1

Answer:

tan X = sin45°•cos45° + sin30°

RHS

put values of sin45° , cos45° , sin30° and solve

therefore now,

(1/√2)•(1/√2) + (1/2)

=(1/2) +(1/2)

=1

so the value of RHS is 1

now you have to think for what value of x does tan give 1. And the answer here is x=45°

Answer 2

Answer:

I think the given question is wrong

Step-by-step explanation:

sin 450° = sin (360°+90°)

= sin 90° = 1

cos 450° = cos (360°+90°)

= cos 90° = 0

sin 300° = sin (360°-60°)

= - sin 60° = -√3/2

2sin 300° = -√3/2 x 2 = -√3

tan x=sin450.cos450+sin300

=> tan x = (1)(0) + (-√3) = 0 - √3

=> tan x = -√3 = tan 120°

.•. x = 120°