If tan(b)={(sin(a)×cos(a)}÷(2+cos(a)^2 then prove that 3tan(a-b)=2tan(a)
monirul Islam mondal , 7 Years ago
Grade 11
Trigonometry> If tan(b)={(sin(a)×cos(a)}÷(2+cos(a)^2 th...
2 Answers
Arun
Dear student
Starting from the later part
tan (a-b) = 2 tan a
tan a - tan b / 1 + tan a tanb = 2 tan a
tan a - tan b = 2 tan a + 2 tan²a tan b
- tan a / 1 + 2 tan²a = tanb
tan b = - sina / cos a/(1 + 2 sin²a/cos²a)
tan b = - sin a * cos a/ (cos² a + 2 sin²a)
tan b = - sina cos a / (2 - cos²a)
Arun
Sorry by mistake answer is submitted.
Actual equation is 3 tan (a-b) = 2 tana
Hence please take care of 3. I have forgotten that.
Hope it helps
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