Question

If sin= 7/25 find the values of cos and tan​

Answer 1

Step-by-step explanation:

sin^2 thita+cos^2 thita=1

....(Trignometric identity)

(7/25)^2+cos^2 thita=1

cos^2 thita=1-49/625

cos^2 thita=625-49/625

cos^2 thita=576/625

Taking square root of both sides.

cos thita=24/25

we know,

tan thita=sin thita/cos thita

tan thita = 7/25/24/25

tan thita =7/24

Values of cos and tan are 24/25 and 7/24 respectively.

Answer 2

$\red {\underline{\underline{Answer:}}}$

$\pink{cosθ = \frac {24}{25}}$

$\pink{tanθ = \frac {7}{24}}$

$\red {\underline{\underline {Step-by-step Explaination:}}}$

We are given,

$sin \: = \frac{7}{25}$

$as \: we \:know, \: sinθ = \frac{oposite}{hypotenuse}$

So, here Oposite side = 7 and Hypotenuse side = 25

$∴ adjacent = \sqrt{ {25}^{2} - {7}^{2}}\\ = \sqrt{576} \\ = 24$

$\pink {\therefore{cosθ = \frac {24}{25}}}$

$\pink {\therefore{tanθ = \frac {7}{24}}}$

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