Question
If $\log 8=0.9030$, find the value of $:$ $\log (0.125)$
✓
Answer
-0.9030
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Without using trigonometric tables, find the values of :
$\frac{\sin 30^{\circ}-\sin 90^{\circ}+2 \cos 0^{\circ}}{\tan 30^{\circ} \times \tan 60^{\circ}}$
→$\frac{\sin 30^{\circ}-\sin 90^{\circ}+2 \cos 0^{\circ}}{\tan 30^{\circ} \times \tan 60^{\circ}}$
Factorise:
$x^2-y^2+2 y z-z^2$
→$x^2-y^2+2 y z-z^2$
$A B$ is a line segment. $A X$ and $B Y$ are two equal line segments drawn on opposite sides of $A B$ such that $A X \| Y B$. If $A B$ and $X Y$ intersect at $M$, prove that :
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→(i) $\triangle AMX \cong \triangle BMY$ (ii) AB and XY bisect each other at M .
Using the standard formulae, expand:
$(3 x+10 y)^2$
→$(3 x+10 y)^2$
Using the standard formulae, expand:
$\left(\frac{2}{5} x+\frac{5}{6} y\right)^2$
→$\left(\frac{2}{5} x+\frac{5}{6} y\right)^2$
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→$\sin 60^{\circ} \cos 30^{\circ}+\cos 60^{\circ} \sin 30^{\circ}$
Factorise:
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Without using trigonometric tables, evaluate.
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(3a + 4b) (9a2 - 12ab + 16b2)