Question

last question :)

Answer 1

What is tan2(theta), if theta is a second quadrant angle with sin(theta)=4/5

Answer 2

@ganeshie8

Answer 3

you mean \(\large \tan(2\theta)\) or \(\large \tan^2(\theta)\) ?

Answer 4

first one

Answer 5

good, use double angle formula
\[\large \tan(2\theta) = \dfrac{2\tan(\theta)}{1-\tan^2(\theta)}\]

Answer 6

find the value of \(\tan(\theta)\) and plug it in abvoe

Answer 7

do you think you can show me ? :)

Answer 8

draw a triangle based on given info : \(\large \sin(\theta) = \dfrac{4}{5}\)

Answer 9

-3 is the other side

Answer 10

Yes! so \(\tan(\theta) = ?\)

Answer 11

53.13

Answer 12

\(\tan(\theta)\) is a ratio of opposite side and adjacent side
not angle..

Answer 13

try again

Answer 14

would be 4/-3

Answer 15

Yes!

Answer 16

\[\tan(\theta) = -\dfrac{4}{3}\]
simply plug that in the earlier identity of \(\tan(2\theta)\)

Answer 17

\[\large\begin{align} \tan(2\theta) &= \dfrac{2\tan(\theta)}{1-\tan^2(\theta)}\\~\\&=\dfrac{2\left(-\frac{4}{3}\right)}{1-\left(-\frac{4}{3}\right)^2}\\~\\&=?\end{align}\]

Answer 18

wait I think i got it; it it 24/7

Answer 19

it should be 24/7

Answer 20

Yes im getting the same!

Answer 21

yay! Thank you ganeshie!

Answer 22

np:)