Question

If sin Ɵ = 0.6 , find sec Ɵ + tan Ɵ​

Answer 1

Answer:

2

Step-by-step explanation:

sec theta=1/(1-sin^2theta)^1/2

=1/(1-.36)^1/2=1.25

tan theta =0.6/0.8=0.75

1.25+0.75=2

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Answer 2

Answer:

sec Ɵ + tan Ɵ = 2

Step-by-step explanation:

We have, sin Ɵ = 0.6

We know cos Ɵ = √(1-sin² Ɵ)

                         =√(1-0.6²) = √(1-0.36) = √0.64 = 0.8

Now sec Ɵ= 1/cosƟ = 1/0.8

And tan Ɵ= sinƟ/cosƟ = 0.6/0.8

∴ secƟ + tanƟ = 1/0.8 + 0.6 /0.8   =1.6/0.8  = 2