Question

Solve this
question

plz​

Answer 1

Explanation:

Refer to attachment mate✔✔✔✔

Answer 2

Question ===>

(Sin 30° + tan 45° - Cosec 60°)/(sec 30° + cos 60° + cot 45°)

Solution

===>

As we know that

Sin 30° = 1/2

tan 45° = 1

Cosec 60° = 2/√3

Sec 30° = 2/√3

Cos 60° = 1/2

cot 45° = 1

Putting these values in the question.

(1/2 + 1- 2/√3)/(2/√3+1/2+1)

(√3+2√3-4/2√3)/(√3+2√3+4/2√3)

[√3(1+2)-4/2√3]/[√3(1+2)+4]

(3√3-4/2√3) / (3√3+4/2√3)

Now changing division sign into multiple sign

$\frac{3 \sqrt{3} - 4 }{2 \sqrt{3} } \times \frac{2 \sqrt{3} }{3 \sqrt{3} + 4 }$

$\frac{3 \sqrt{3 } - 4 }{3 \sqrt{3} + 4 }$

Now rationalize..

$\frac{3 \sqrt{3} - 4 }{3 \sqrt{3} + 4} \times \frac{3 \sqrt{3 } - 4 }{3 \sqrt{3} - 4}$

$\frac{( {3 \sqrt{3} - 4) }^{2} }{( {3 \sqrt{3} )}^{2} - ( {4)}^{2} }$

$\frac{27 + 16 - 24 \sqrt{3} }{27 - 16}$

$\frac{43 - 24 \sqrt{3} }{11}$

Hope it helps