please help me to solve this question of trigonometry
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varshachaudhary643:
Kya aap bata skte hai tan40 ke bad kya likha hai
tan 80
Ok
His ans is correct u can see it from there
ya ok.. thanks for helping..
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tan 40 * tan 80* tan 20=(sin 40 *sin 80) * sin 20 /(cos 40 *cos 80 ) cos 20
now, multiplying numerator and denominator by 2,
=(2*sin 40*sin 80) *sin 20 /(2 cos 40*cos 80) cos 20]
=(cos 40- cos 120)*sin 20/( (cos 120+ cos 40) cos 20
=(2 cos 40 +1) sin 20 /(2 cos 40-1) cos 20
=(2 cos 40*sin 20 +sin 20) /(2 cos 40 cos 20 -cos 20)
=(sin 60 -sin 20 +sin 20)/ (cos 60+sin 20-sin 20)
= sin 60/cos 60
=tan 60
thank you so much manish..
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