A teacher in Pune writes: sec^4 A - sec^2 A. A student claims it equals tan^4 A + tan^2 A. Is the student correct? Choose the matching simplified form.

Question

Accepted Answer

tan^4 A + tan^2 A. sec^4 A - sec^2 A = sec^2 A(sec^2 A - 1) = (1 + tan^2 A)(tan^2 A) = tan^2 A + tan^4 A. The student is correct.

A teacher in Pune writes: se $c^{4}$ A - se $c^{2}$ A.
A student claims it equals ta $n^{4}$ A + ta $n^{2}$ A.
Is the student correct? Choose the matching simplified form.

Step-by-Step Solution

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More Class 10 Trigonometric Identities practice

A teacher in Pune writes: sec4 A - sec2 A.A student claims it equals tan4 A + tan2 A.Is the student correct? Choose the matching simplified form.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Trigonometric Identities practice

A teacher in Pune writes: se $c^{4}$ A - se $c^{2}$ A.
A student claims it equals ta $n^{4}$ A + ta $n^{2}$ A.
Is the student correct? Choose the matching simplified form.