Question

if tan0 = 24/7 find all ratios

don't give spam answer otherwise I will report you​

Answer 1

Step-by-step explanation:

total there are 6 ratios out of which tan is given so using it I have evaluated other 5 .

hope it helps

Answer 2

Answer :

• $\sf tan \theta = \dfrac{24}{7}$
• All trigonometric ratios = ?

$\quad$━━━━━━━━━━━━━━━━━━━━━━━━━

Value of cot θ :

$\bullet \sf \ cot \theta = \dfrac{1}{tan \theta }$

$:\implies \sf cot \theta = \dfrac{7}{24}$

━━━━━━━━━━━━━━━

Value of sec θ :

$\sf\bullet sec^2 \theta =1+tan^2 \theta$

$\sf:\implies \sf sec^2 \theta = 1+ \bigg\lgroup\dfrac{24}{7} \bigg\rgroup^2$

$\sf:\implies sec^2 \theta = 1+ \dfrac{576}{49}$

$\sf :\implies sec^2 \theta = \dfrac{625}{49}$

$\sf :\implies sec\theta = \dfrac{25}{7}$

━━━━━━━━━━━━━━━

Value of cos θ :

$\bullet \sf \ cos\theta = \dfrac{1}{sec\theta }$

$:\implies\sf cos \theta = \dfrac{7}{25}$

Value of sin θ :

$\bullet \sf \ sin \theta = tan \theta cos \theta$

$\dashrightarrow \sf sin \theta = \dfrac{24}{7} \times \dfrac{7}{25}$

$:\implies\sf sin \theta = \dfrac{24}{25}$

━━━━━━━━━━━━━━━

Value of cosec θ :

$\sf \bullet \ cosec \theta = \dfrac{1}{sin \theta }$

$:\implies\sf cosec \theta = \dfrac{25}{24}$