Question

Given that 23°=√k,determine the value of each of the following in terms of k,without using a calculator

1.sin203°
2.cos23°
3.tan(-23°)
Please
Answer any question you know

Answer 1

Hello,

In order to exist ,k>=0

1) sin (180°+x)=-sin (x) ==>sin(203°)=-√k

2) cos² x +sin² x=1==>cos x=√(1+sin² x)=√(1+k)

3)tan (-x)=-tan (x) =-sin (x)/cos (x) =- √k/√(1+k)=√(k/(1+k))