Question

If sec Theta =25/7.find the vaule of than theta.​

Answer 1

Step-by-step explanation:

tan theta = p/b

b= 7

hypotenuse =25

perpendicular is 24 cm

so tan theta = 24/7

give me brainlest answer

Answer 2

Given:

$\sec\theta = \frac{25}{7}$

We know,

${ \sec }^{2} \theta \: - { \tan }^{2} \theta \: = 1$

$({ \frac{25}{7} })^{2} \: - { \tan}^{2} \theta \: = 1$

$\frac{625}{49} - { \tan }^{2} \theta = 1$

$- { \tan}^{2} \theta = 1 - \frac{625}{49}$

$- { \tan}^{2} \theta = \frac{49 - 625}{49}$

$- { \tan }^{2} \theta = \frac{ - 576}{49}$

$\tan \theta = \frac{ 24 }{7}$