Question

If sin 0 = cos o, find the value of :
3 tan ^2theta+ 2 sin^2theta- 1​

Answer 1

Step-by-step explanation:

Since, sin0 = cos 0

0 = 45°.

$3 {tan}^{2} \alpha + 2 {sin}^{2} \alpha - 1 \\ \\ = 3 {tan}^{2} 45 + 2 {sin}^{2} 45 - 1 \\ \\ = 3 {(1)}^{2} + 2( { \frac{1}{ \sqrt{2} } )}^{2} - 1 \\ \\ = 3 + 2( \frac{1}{2} ) - 1 \\ \\ = 3 + 1 - 1 \\ \\ = 3$

hope it helps.........