Question

If secQ+tanQ= 7. then evaluate secQ-tanQ

Answer 1

Yello,

As as we know the 2nd Trigonometric identity.
Which is
$\sec^{2}(q) - \tan^{2}( q) = 1$
so,
It can be written as follows:
[sec(q) - tan(q)]×[sec(q) + tan(q)] = 1.

( Because a² - b² = (a + b)(a - b).
Here a = sec(q) and b = tan(q). )

Therefore ;
Given is sec(q) + tan(q) = 7.
continuing in pic...



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Answer 2

By identity
SEC^2Q-TAN^2Q=1
(SECQ+TANQ) (SECQ-TANQ)=1
(7) (SECQ-TANQ)=7
SECQ-TANQ=1/7.
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