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
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cos 60° - cos 0°+2 sin 90° cot 60°× cot 30°=12−1+2×113×3=12−1+21=12+1=1+22=32=112\dfrac{\text{cos 60° - cos 0°} + \text{2 sin 90°}}{\text{ cot 60°}\times \text{ cot 30°}} = \dfrac{\dfrac{1}{2} - 1 + 2 \times 1}{\dfrac{1}{\sqrt3}\times \sqrt3}\\[1em] = \dfrac{\dfrac{1}{2} - 1 + 2}{1}\\[1em] = \dfrac{1}{2} + 1\\[1em] = \dfrac{1 + 2}{2}\\[1em] = \dfrac{3}{2}\\[1em] = 1\dfrac{1}{2} cot 60°× cot 30°cos 60° - cos 0°+2 sin 90°=31×321−1+2×1=121−1+2=21+1=21+2=23=121
Hence, option 1 is the correct option.
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If cot A = tan A and 0 ≤ A ≤ 90°, the measure of angle A is :
30°
60°
45°
90°
The value of :
cos2 60° - 2 sin3 30° + 3 cot4 45° is :
3
2
Find the value of:
sin 30° cos 30°
tan 30° tan 60°
