Find the value of:
tan 30° tan 60°
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tan 30° tan 60°=13×3=13×3=1\text{tan 30° tan 60°} = \dfrac{1}{\sqrt3} \times \sqrt3\\[1em] = \dfrac{1}{\cancel{\sqrt3}} \times \cancel{\sqrt3}\\[1em] = 1tan 30° tan 60°=31×3=31×3=1
Hence, tan 30° tan 60° = 1.
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The value of cos 60° - cos 0°+2 sin 90° cot 60°× cot 30°\dfrac{\text{cos 60° - cos 0°} + \text{2 sin 90°}}{\text{ cot 60°}\times \text{ cot 30°}} cot 60°× cot 30°cos 60° - cos 0°+2 sin 90° is :
1121\dfrac{1}{2}121
23\dfrac{2}{3}32
-2
1
sin 30° cos 30°
cos2 60° + sin2 30°
cosec2 60° - tan2 30°
