Question

Prove that :

tan(A+30) + tan(A-30) = 1/ sin 2A - sin60 ...

Answer 1

Answer:

Step-by-step explanation:

hi there

LHS = tan(A + 30) + cot(A - 30)              

= (tanA + tan 30/1 – tanA.tan30 ) + (cotA.cot 30 + 1/cot30 - cotA)

Write this in terms of sine and cosine.

On solving with this we get the ans. As => 2 / 4cosA.sinA - √3

                                                         = (1 / 2sinA.cosA) - (√3/2)

                                                         = 1 / (sin2A - sin 60)

                                                         = RHS 

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Answer 2

Tan230×sin30+cos60×sin290
=(1/root3)2×(½)+(½)×(1)2
=(1/3)×(1/2)+(1/2)
=(1/6)+(1/2)
=(1+3)/6
=4/6