Question

if sec theta is equal to 25/7 complete the following activity to find the value of tan theta​

Answer 1

Step-by-step explanation:

sec ∅ = 25/7

so cos∅ = 7/25 (adjacent= 7k , hypotenuse = 25k)

by pythagoran triplets opposite side must be 24k

(hear we took k because we don't know the exact values of the sides of triangle we only know the ratios )

therefore tan ∅ = opp/hyp

= 24/25

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Answer 2

Answer:

Sec theta=25/7

then Cos theta = 7/25

AC^2=AB^2+BC^2

25^2=AB^2+7^2

625=AB^2+49

AB^2=576

AB=24

Therefore

Tan theta = AB/BC=24/7