7 sin theta - 24 cos theta = 0
Find the value of sec theta
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Solution :-
→ 7sin θ - 24cos θ = 0
→ 7sin θ = 24cos θ
→ sin θ/cos θ = 24/7
using :-
- sin A / cos A = tan A in LHS,
→ tan θ = 24/7
using :-
- sec² A - tan² A = 1
→ sec² θ - (24/7)² = 1
→ sec² θ - (576/49) = 1
→ sec² θ = 1 + (576/49)
→ sec² θ = (49 + 576)/49
→ sec² θ = (625/49)
→ sec² θ = (25/7)²
square root both sides now,
→ sec θ = 25/7 (Ans.)
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