Evaluate (sin sin 45o + sin sin 3o ) in sur..

Question 1 Report

Evaluate ( $\sin$ 45o + $\sin$ 3o ) in surd form.

\frac{\sqrt{3}}{2 \sqrt{2}}

√3 −

\frac{1}{2}

\frac{1}{2}

√2

1 +

\frac{\sqrt{2}}{2}

Answer Details

hypotenuse
sin = $\frac{1}{2}$
$\sin 45 = \frac{1}{\sqrt{2}}$
= $\frac{2}{2}$
∴ (sin45 + sin30)
= $\frac{1}{\sqrt{2}} + \frac{1}{2}$
= $\frac{\sqrt{2}}{2}$ + $\frac{1}{2}$
= $\frac{\sqrt{2} + 1}{2}$
= $\frac{1 + \sqrt{2}}{2}$

Read lesson note on Surds (radicals) (WAEC)

Read lesson note on Indices, Logarithms And Surds (JAMB)

Surds (radicals)

Indices, Logarithms And Surds

View Answer

Evaluate (sin sin 45o + sin sin 3o ) in surd form.