Math, asked by sumidigital143, 9 months ago

29. If sec theta + tan theta = m and sec theta - tan theta = n, prove that mn = 1.​

Answers

Answered by ishitabvt
3

Answer:

Step-by-step explanation:

mn= (sec theta + tan theta)(sec theta - tan theta)

    = sec^2 theta - tan^2 theta

    = 1

identity used - a^2-b^2 = (a+b)(a-b)

                      and sec^2 theta - tan^2 theta = 1

Answered by rajivrtp
2

Answer:

mn= (secX+tanX)(secX-tanX)

= sec²X-tan²X

=(1+tan²X)-tan²X

= 1 -tan²X+tan²X

=1

Proved

Step-by-step explanation:

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