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ICSE Class 9 Answered

If  sin theta =4/5
Find the value of 5sintheta + 3 sectheta
Asked by tejvarun | 23 Sep, 2016, 04:22: PM
answered-by-expert Expert Answer
begin mathsize 16px style sin space theta space equals space 4 over 5 rightwards double arrow sin squared space theta space equals space 16 over 25
N o w comma space sin squared space theta space plus space cos squared space theta space equals space 1
rightwards double arrow 16 over 25 plus space cos squared space theta space equals space 1
rightwards double arrow space cos squared space theta space equals space 1 space minus space 16 over 25 space equals space 9 over 25
rightwards double arrow cos space theta space equals space 3 over 5
rightwards double arrow s e c space theta space equals space fraction numerator 1 over denominator cos space theta end fraction space equals space 5 over 3
T h u s comma space w e space h a v e
5 sin theta space plus space 3 s e c theta
equals 5 cross times 4 over 5 space plus space 3 cross times 5 over 3
equals 4 space plus space 5
equals space 9 space end style
Answered by Rashmi Khot | 23 Sep, 2016, 04:36: PM
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