prove that 1/cos 290+1/root 3.sin 250=4/root 3
prove that 1/cos 290+1/root 3.sin 250=4/root 3
Palash Zokarkar , 12 Years ago
Grade 11
Trigonometry> prove that 1cos 290+1root 3.sin 250=4root...
3 Answers
Sunil Raikwar
Last Activity: 10 Years ago
1/cos290+1/root3.sin250
=1/sin20 -1/root3.cos20
=root3cos20-sin20/root3.sin20.cos20
=4.(sin60co20-cos60sin20)/root3.2sin20cos20 [multiply and divide by 4]
=4sin40/root3.sin40= 4/root3
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Sunil Raikwar
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Jatin
Last Activity: 7 Years ago
=1/sin20 -1/root3.cos20=root3cos20-sin20/root3.sin20.cos20=4.(sin60co20-cos60sin20)/root3.2sin20cos20 [multiply and divide by 4]=4sin40/root3.sin40= 4/root3
christo
Last Activity: 4 Years ago
cos(290)=cos(270+20)=sin20
sin(250)=sin(270-20)= -cos20
therefore,1/cos290+1/root3.sin250=1/sin20-1/root3.cos20
=root3.cos20-sin20/root3.sin20*cos20 (by cross multiplying)
=2(root3/2cos20-1/2sin20)/(1/2*root3.2sin20cos20) (2sin20.cos20=sin40)
=2(sin60.cos20-cos60.sin20)/(1/2*root3.sin40) (sin60.cos20-cos60*sin20=sin40)
=4sin40/root3.sin40=4/roo3
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