Math, asked by jack7869, 1 year ago

find the value of sin 90 degrees + cos 30 degrees minus tan 45 degrees + Cos 60 degrees + cot 90 degrees​

Answers

Answered by itachi88
6
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Answered by FelisFelis
3

The value of the provided expression is \frac{1+\sqrt{3}}{2}.

Step-by-step explanation:

Consider the provided information

\sin \left(90^{\circ \:}\right)+\cos \left(30^{\circ \:}\right)-\tan \left(45^{\circ \:}\right)+\cos \left(60^{\circ \:}\right)+\cot \left(90^{\circ \:}\right)

Use the trivial identity:

\sin \left(90^{\circ \:}\right)=1, \cos \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{2}, \tan \left(45^{\circ \:}\right)=1, \cos \left(60^{\circ \:}\right)=\frac{1}{2}, \cot \left(90^{\circ \:}\right)=0

Substitute the respective values.

=1+\frac{\sqrt{3}}{2}-1+\frac{1}{2}+0

=\frac{1}{2}+\frac{\sqrt{3}}{2}

=\frac{1+\sqrt{3}}{2}

Hence, the value of the provided expression is \frac{1+\sqrt{3}}{2}.

#Learn more

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