Math, asked by isha3112, 1 year ago

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

isha3112: tan 80

varshachaudhary643: Ok

varshachaudhary643: His ans is correct u can see it from there

isha3112: ya ok.. thanks for helping..

Answers

Answered by manish5365

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

isha3112: thank you so much manish..

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