Question

Sin45 + cos45 + tan45 + cot45 + sec 45 + cosec45

Answer 1

Answer:

2+3√2 is the answer.

Step-by-step explanation:

$sin \ 45 = \frac{1}{\sqrt{2}} \\\\cos 45= \frac{1}{\sqrt{2}} \\\\tan45=1\\\\cot45=1\\\\ sec \ 45=\sqrt{2} \\\\cosec \ 45=\sqrt{2} \\\\=> Sin45 + cos45 + tan45 + cot45 + sec 45 + cosec45 \\\\=> \frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}+1+1+\sqrt{2}+\sqrt{2}\\\\=>\frac{2}{\sqrt{2}}+2+2\sqrt{2}\\\\=> (\frac{2}{\sqrt{2}})(\frac{\sqrt{2}}{\sqrt{2}})+2+2\sqrt{2}\\\\=> \sqrt{2}+2+2\sqrt{2}\\\\=>2+3\sqrt{2}$