Question

cot30°\sec30°+cosec30°\tan45°-2cos0°\sin30°+cos^2 45° find without ising table​

Answer 1

Answer:

1 definatelyy

Step-by-step explanation:

cos 30 is 1/2 divided by 1/2

Answer 2

The value of the given expression is 0.

Explanation:

The given expression is : $\dfrac{\cot 30^{\circ}}{\sec30^{\circ}}+\dfrac{\text{cosec}30^{\circ}}{\tan45^{\circ}}-\dfrac{2\cos0^{\circ}}{\sin30^{\circ}}+\cos^245^{\circ}$

Using the trigonometric table,

$\cot 30^{\circ}=\sqrt{3}\ ;\ \sec30^{\circ}=\dfrac{2}{\sqrt{3}}\ ; \text{cosec}30^{\circ}=2\\\\\tan45^{\circ}=1\ ;\ \cos0^{\circ}=1\ ;\ \cos45^{\circ}=\dfrac{1}{\sqrt{2}}$

$\dfrac{\sqrt{3}}{\dfrac{2}{\sqrt{3}}}+\dfrac{2}{1}-\dfrac{2}{\dfrac{1}{2}}+(\dfrac{1}{\sqrt{2}})^2\\\\=\dfrac{(\sqrt{3})^2}{2}+2-(2)^2+\dfrac{1}{2}\\\\=\dfrac{3}{2}+2-4+\dfrac{1}{2}\\\\=\dfrac{3+1}{2}-2\\\\=2-2=0$

Hence, the value of the given expression is 0.

# Learn more :

Tan45°/cosec30°+sec60°/cot45°-5sin90°/2cos0°​

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