Question
If θ is a positive acute angle and cos²θ + cos⁴θ =
1, then the value of tan²θ + tan⁴θ is?Solution
cos²θ + cos⁴θ = 1 cos⁴θ = 1 - cos²θ cos⁴θ = sin²θ cos²θ = sin²θ/cos²θ tan²θ = cos²θ tan⁴θ = cos⁴θ tan²θ + tan⁴θ = cos²θ + cos⁴θ = 1
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