Question

If secθ$=\frac{4}{3}$ , what is the value of tan² θ + tan⁴ θ?

• A. 112/81
• B. 256/81
• C. 64/27
• D. 16/81

Answer 1

Answer:

A. 112/81

Solution:

Given : 

$Sec\theta=\frac{4}{3}$

Calculation : 

We know,

⇒ Secθ = 4/3, tanθ = √7/3

⇒ tan2 θ + tan4 θ = 7/9 + 49/81

⇒ (63 + 49)/81

⇒ 112/81

∴ The correct answer is 112/81.