Question

If tan theta + cot theta =2 . Find the values of (1) Tan square theta+cot square theta.

Answer 1

The right answer is 2.

Answer 2

Answer:

$Value \: of \\ tan^{2}\theta+cot^{2}\theta = 2$

Step-by-step explanation:

$Given \: tan\theta+cot\theta=2\:---(1)$

/* On Squaring both sides of the equation, we get

$\left(tan\theta+cot\theta\right)^{2}=2^{2}$

$\implies tan^{2}\theta+cot^{2}\theta+2 tan\theta cot\theta = 4$

$\implies tan^{2}\theta+cot^{2}\theta+2 \times 1 = 4$

/* tanAcotA = 1 */

$\implies tan^{2}\theta+cot^{2}\theta = 4-2$

$\implies tan^{2}\theta+cot^{2}\theta = 2$

Therefore,

$tan^{2}\theta+cot^{2}\theta = 2$

•••♪