Solve this question please.

sin theta = (under root 3 + 1) divided by 2 times under root 2 cos theta = (under root 3 - 1) divided by 2 times under root 2 Find the value of theta. Please look at the shared image.

Answers
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aida660
14 August 2018
1534427797856..jpg
murali_nani
16 August 2018
sinθ/cosθ= (sqrt3+1)/(sqrt3-1)tanθ=(sqrt3+1)^2/2tanθ=(4+2sqrt3)/2tanθ=2+sqrt3arctanθ=75, thus θ=75 degrees.
marias
16 August 2018
Sorry, I meant arctan(2+sqrt3)=75. It is pretty obvious anyway that theta is more than 45 degrees, since the value of sinθ is greater than the value of cosθ (sinθ=cosθ when theta=45, when 0<θ<45 then cosθ>sinθ and when 45<θ<90 it is cosθ<sinθ.
marias
16 August 2018
Yes your answer is write.we should not multiply sin and cos
murali_nani
17 August 2018
image.jpg
anhnguyen
25 September 2018
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