Question

If sec =√2 find 3cot theta+ 2 sin² theta /tan ² theta - cos ² theta ​

Answer 1

Answer:

5

Step-by-step explanation:

sec theta= root 2

therefore cos theta = 1/root 2

theta = 45 degree

now

3cot theta +2sin square theta/(tan square theta - cos square theta)=

(3 × 1) + {2× 1/2}/1 -1/2=

3+ 1/1/2=

3+ 2=5. Thank you. I derived the fractions from these ratios.

cot 45 =1

sin 45= 1/ root 2 sin square 45= 1/2

cos 45 = 1/ root 2 cos square 45= 1/2

tan 45= 1