9^2A 9tan^2A =9(^2A tan^2A) 9× 1=9 since ^2A 9tan^2A=1 ...

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Relation between Inverses of Trigonometric Functions and Their Reciprocal Functions

Solve: 92A-...

Question

Solve: $9 {sec}^{2} A - 9 {tan}^{2} A$

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Solution

Given $9 {sec}^{2} A - 9 {tan}^{2} A$
$= 9 ({sec}^{2} A - {tan}^{2} A)$
$= 9 \times 1 = 9$ as ${sec}^{2} A - {tan}^{2} A = 1$

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