Question

Solve this question :
Sin30°÷1+tan30°

Answer 1

Sin 30°= 1/2
Tan 30° =$\frac{1}{ \sqrt{3} }$

$\frac{ \frac{1}{2} }{1} + \frac{1}{ \sqrt{3} }$

$\frac{1}{2} + \frac{1}{ \sqrt{3} }$

$\frac{ \sqrt{3} + 2 }{2 \sqrt{3} }$

Answer 2

Answer:

SIN 30 ÷  1 + TAN 30

==> SIN 30 ÷ 1 + SIN 30 / COS 30

==> SIN 30 ÷ (COS 30 + SIN 30) / COS 30

==> SIN 30 × COS30/(COS30+SIN30)

==>  SIN×COS 30 / COS 30 + SIN 30

==> 1/2 × √3/2  ÷ √3/2 + 1/2

==> √3/4 ÷ √3+1/2

==> √3/4 × 2/√3+1

==> √3/2(√3+1)

==> RATIONALISE

==> √3/ 2√3+2 × 2√3-2/ 2√3-2

==>  √3(2√3-2) / (2√3)²-(2)²

==> 6-2√3 / 12-4

==> 2(3-√3) /8

==> 3-√3/4

      OR

SIN 30 ÷ 1+TAN 30

==> 1/2 ÷ 1 + 1/√3

==> 1/2÷ √3+1/√3

==> 1/2 ×  √3/√3+1

==> √3/2(√3+1)

==> RATIONALISE

==> √3/ 2√3+2 × 2√3-2/ 2√3-2

==>  √3(2√3-2) / (2√3)²-(2)²

==> 6-2√3 / 12-4

==> 2(3-√3) /8

==> 3-√3/4