Question

if secø +tanø=5 then find the value of secø-tanø​

Answer 1

Answer:

-5

Step-by-step explanation:

sec teta =1/cos teta

tan teta =sin teta /cos teta

sec teta+tan teta = 5

1/cos teta+sin teta/cos teta=5

1+sin teta /cos teta =5

1+sin teta =5cos teta

cos teta =1+sin teta/5

Sec teta -tan teta=1/cos teta -sin teta/cos teta

=1-sin teta/cos teta

We know that ,cos teta =1+sin teta /5

1-sin teta /1+sin teta /5

1-sin teta ×5/1+sin teta

1-sin teta ×5/-1(1-sin teta )...............................[ We know that (-)×(-)=(+)]

1×5/-1.......................................[ (1-sin teta ) in denominator and (1-sin teta ) in the numerator will gets cancelled]

5/-1

-5

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