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