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Raj P Raj

· started a discussion

· 1 Months ago

solution ???? (Question: 249206.0 )

solution ????

Question:
If tan  θ + sec θ = 2; then tan θ will be —
Options:
A) \(\cfrac{3}{4}\)
B) \(\cfrac{5}{4}\)
C) \(\cfrac{2}{3}\)
D) \(\cfrac{4}{5}\)
Solution:

Ans: (a) 


Knowledge Expert

· commented

· 1 Months ago

Dear Student
The value of Sina should be 3/5

Knowledge Expert

· commented

· 1 Months ago

Dear Student
Simplify every trigonometric term into sin and cos terms.
let suppose "Theta" is "a"
sina/cosa+1/cosa=2
sina+1=2cosa................(1)
sin^2a+cos^2a=1..........(2)
Through equation 1 & 2 we can get the value of cosa, which is 4/5
also the value of sina=4/5
so the value of tana=sina/cosa=(3/5)/(4/5)=3/4.
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