Math, asked by rangapurnashakar, 1 year ago

Sin150°-5cos300°+7tan225°/tan135°+3sin210°​

Answers

Answered by smartbyknowledge08
57

Answer:

-2

Step-by-step explanation:

=sin(180-30)°- 5cos(360-60)°+ 7tan(270-45)°/tan (180-45)°+3sin (270-60)°

=sin30°-5cos60°+7cot45°/-tan45°-3cos60°

=1/2-5×1/2+7×1/-1-3×1/2

=-2

Hope you will understand

Answered by FelisFelis
28

The value of the expression is -2.

Step-by-step explanation:

Consider the provided expression.

\dfrac{\sin150-5\cos300+7\tan225}{\tan135+3\sin210}

The above expression can be written as:

\dfrac{\sin(180-30)-5\cos(360-60)+7\tan(180+45)}{\tan(90+45)+3\sin(180+30)}

\dfrac{\sin30-5\cos60+7\tan45}{-\tan45-3\sin30}

\dfrac{\frac{1}{2}-\frac{5}{2}+7\times1}{-1-\frac{3}{2}}

\dfrac{\frac{1-5+14}{2}}{\frac{-2-3}{2}}

-\dfrac{10}{5}=-2

Hence, the value of the expression is -2.

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