Question

evaluate cot 30 degree + sin 90 degree multiplied tan 60 degree - sec 0 degree

Answer 1

The value of the expression is 2.

Step-by-step explanation:

Consider the provided expression.

$(\cot30^0 +\sin90^0)(\tan 60^0-\sec0^0)$

Using trigonometric values:

$\cot30^0=\sqrt{3}, \sin90^0=1, \tan60^0= \sqrt{3}\ and\ \sec0^0=1$

Substitute the respective values.

$(\sqrt{3}+1)(\sqrt{3}-1)$

According to difference of the square formula: $(a+b)(a-b)=a^2-b^2$

$(\sqrt{3})^2-(1)^2$

$3-1$

$2$

Hence, the value of the expression is 2.

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