If 7sin θ - 24 cosθ = 0 , then find the value of sec θ .
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Answer:
sec θ =25 / 7
Step-by-step explanation:
Given : 7sin θ - 24 cosθ =0
7sin θ = 24 cosθ
sin θ/ cosθ= 24/7
tan θ = 24/7
we know that , 1+ tan^2 θ = sec ^2 θ
1+ (24/7)^2 = sec ^2 θ
1+ 576/49 = sec ^2 θ
(49+576)/49 = sec ^2 θ
625/49 = sec ^2 θ
sec θ =25/7
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