Question

sec ⁴-theta - tan⁴theta =1+2tan²theta

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Answer 1

Answer:

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Answer 2

Explanation:

Left Hand Side:

Use the identity:

1+tan² θ = sec² θ

sec ⁴ θ − tan⁴  θ = ( sec  ²θ - tan  ² θ ) ( sec   ² θ + tan   ² θ )

=1 (sec²θ  + tan²θ )

=sec²θ  + tan²θ

=1 + tan²θ  + tan²θ

=1 + 2 tan²θ

∴  Right Hand Side = 1 + 2 tan²θ