If cos θ = 7/25, write the value of (tan θ + cot θ).
Given: cos θ = 7/25
Therefore sin θ = √(1 – cos2 θ)
= √(1 –(49/625))
= √[(625 – 49)/625]
= √(576/625)
= 24/25
Thus, tan θ = sin θ/cos θ = (24/25)/(7/25)
= 24/7
Also, cot θ = 1/tan θ = 7/24
Therefore, tan θ + cot /θ = (24/7) + (7/24)
= (576 + 49)/(24 × 7)
= 625/168