Question

(i) sec 30° tan 60° + sin 45° cosec 45° + cos 30º cot 60°​

Answer 1

Answer:

3.5

Step-by-step explanation:

Question:

sec 30° tan 60° + sin 45° cosec 45° + cos 30º cot 60°

Trigonometric Values:

▪︎ sec 30° = 2/√3

▪︎ tan 60° = √3

▪︎ sin 45° = 1/√2

▪︎ cosec 45° = √2

▪︎ cos 30° = √3/2

▪︎ cot 60° = 1/√3

Solution:

sec 30° tan 60° + sin 45° cosec 45° + cos 30º cot 60°

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

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

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

$= \frac{6 + 1}{2}$

$= \frac{7}{2}$

$= 3.5$

Hope it helps you.....✔✔✔

Answer 2

Answer:

7/2 or 3.5

Step-by-step explanation:

=> 2/√3 *√3 + 1/√2*√2 + √3/2*1/√3

=> 2/√3 *√3 + 1/√2*√2 + √3/2*1/√3=> 2+1+1/2

=> 2/√3 *√3 + 1/√2*√2 + √3/2*1/√3=> 2+1+1/2=> 3+1/2

=> 2/√3 *√3 + 1/√2*√2 + √3/2*1/√3=> 2+1+1/2=> 3+1/2=> 7/2 or 3.5