Question

the value of tan 45 by sin30 +cos30 is
please withcorrect steps

Answer 1

    We can evaluate this question easily by substituting the values of the trigonometric ratios as the angles are from this list:   0°, 30°, 45°, 60°, 90°.

     Tan 45° = 1   as sin45° = 1/√2  = cos 45°
     sin 30°  = 1/2
    cos 30 °  = √3 /2

So the answer is :
$\frac{tan45}{cos30+sin30}=\frac{1}{\frac{1}{2}+\frac{\sqrt3}{2}}\\\\=\frac{2}{\sqrt3 + 1}\\\\=\frac{2}{\sqrt3 + 1}*\frac{\sqrt3-1}{\sqrt3 -1}\\\\=\frac{2(\sqrt3 -1)}{3- 1}\\\\=\sqrt3 -1$

Answer 2

Answer:

tan45=1

sin30=1/2

cos30=√3/2

Step-by-step explanation:

so____1______=2/√3+1

1/2+√3/2

2/√3+1*√3-1/√3-1

2√3-1/3-1

=√3-1