Question

simplify the following . iv.sec^4 theta - sec^2 theta

Answer 1

Answer:

sec^2 θ. tan^2 θ

Step-by-step explanation:

sec^4 θ-sec^2 θ

=sec^2 θ ( sec^2 θ - 1)

We know sec^2 θ -1 = tan ^2 θ

=sec^2 θ (tan^2 θ)

You can simplify it more by changing sec to cos and tan to sin/cos or tan to cot etc.

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Answer 2

Answer:

$\huge\bold\red{hey mate...... }$

$\huge\bold\pink{WELCOME}$

$\huge\bold\red{Question:-}$

simplify :- sec⁴θ − sec²θ

basic information

• sec⁴θ can also written as (sec²θ)²
• sec²θ = 1 + tan²θ

$\huge\bold\green{solution:-}$

sec⁴θ − sec²θ

☞ sec²θ(sec²θ − 1)

☞ sec²θ.tan²θ