Question

sin cos e
5. If tano = 1 then, find the values of
seco + coseco​

Answer 1

tan o = 1

tan o = tan 45

o = 45

so

sec o + cosec o

= sec 45 + cosec 45

= 1/√2 +√2

= 3/√2 * √2 / √2

= 3√2 / 2

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Answer 2

Step-by-step explanation:

we know,

1+ tan² theta= sec² theta

1+1=sec² theta

sec² theta=2

taking sq. root

sec theta=√2

tan is opposite of cot so,

cot theta =1/1=1

we know,

1+cot² theta =cosec²theta

1+1 = cosec² theta

cosec² theta=2

taking sq. root

cosec theta=√2

Now,

sec theta+cosec theta

=√2+√2

=2√2

therefore, the value of sec theta+cosec theta is 2√2.