Question

if sec theta = 25/7 fin the value of tan theta

Answer 1

Answer:

Sec theta = 25/7

Hyp /adj = 25/7

So by Pythagoras theorem

(hyp) ²= (adj) ² + (opp) ²

(25)²= (7)² + (opp) ²

625-49 = opp ²

Squaring both sides

Root 576 = root opp ²

24 = opp

Tan theta = opp/adj

Tan theta = 24/7

Answer 2

$\sec( \alpha ) = 2 5 \div 7$

sec(α) = कर्ण / आधार

तुलना करने पर

आधार = 7

कर्ण = 25

लम्ब = (कर्ण ^2 - आधार ^2)^1/2

= (25^2 - 7^2)^1/2

= (625-49)^1/2

= (576)^1/2

= 24

अतः, tan(α) = लम्ब / आधार

tan(α) = 24/7 ans.