Question

cosx+sinx=√2cosx,then tan^2x+2tanx is equal to​

Answer 1

$cosx + sinx = \sqrt{2} cosx \\ sinx = ( \sqrt{2} + 1)cosx \\ tanx = \sqrt{2} + 1$

Therefore,

${tan}^{2} x + 2tanx \\ = {( \sqrt{2} + 1) }^{2} + 2( \sqrt{2} + 1) \\ = {( \sqrt{2}) }^{2} + {(1)}^{2} + 2 \sqrt{2} + 2 \sqrt{2} + 2 \\ = 2 + 1 + 4 \sqrt{2} + 2 \\ = 5 + 4 \sqrt{2}$

Answer 2

Answer:

the answer is 1..........