cosec theta + cot theta equal to 5 find cot theta
Answers
Answered by
1
Answer:
Step-by-step explanation:
Cosecθ + Cotθ = 5
1 + Cosθ = 5Sinθ
//Square on both sides
(1 + Cosθ)² = (5Sinθ)²
(1 + Cosθ)² = 25Sin²θ
//Remember Sin²θ = 1 -Cos²θ
(1 + Cosθ)² = 25 (1 - Cos²θ)
(1 + Cosθ)² = 25 (1 - Cosθ)(1 + Cosθ)
1 + Cosθ = 25 ( 1 - Cosθ)
1 + Cosθ = 25 - 25Cosθ
26Cosθ = 24.
Cosθ = 24/ 26 = 12/13
Secθ = 13/12
Similar questions