Question

Evaluate this equation​

Answer 1

Answer:

-1

Step-by-step explanation:

$= \frac{Cos 60 - cot 45 + cosec 60}{sec 60 + tan 45 - sin 30}$

$= \frac{1/2 - 1- 2}{2+1-1/2}$

$= \frac{1/2-3}{3-1/2}$

= -1

Answer 2

Question :

$\bold{\frac{cos60^0-cot45^0+cosec30^0}{sec60^0+tan45^0-sin30^0}}$

Solution :

We know :

cos 60° = 1/2

cot 45° = 1

cosec 30° = 2

sec 60° = 2

tan 45° = 1

sin 30° = 1/2

Substituting :

$\bold{\frac{\frac{1}{2}-1+2}{2+1-\frac{1}{2} } }$

$\bold{\frac{\frac{1}{2}-1+2}{3-\frac{1}{2} } }$

$\bold{\frac{\frac{3}{2}}{\frac{5}{2}} } }$

$\bold{\frac{3}{5}}$

∴ $\frac{3}{5}$ is the value of $\bold{\frac{cos60^0-cot45^0+cosec30^0}{sec60^0+tan45^0-sin30^0}}$.