If θ=30o,verify that: (i) tan 2 θ=2 tan θ1−tan2 θ (ii) sin 2θ=2

1.	If θ=30o,verify that: (i) tan 2 θ=2 tan θ1−tan2 θ (ii) sin 2θ=2 tan θ1+tan2 θ (iii) cos2 θ=1−tan2 θ1+tan2 θ (iv) cos3θ=4 cos3 θ−3 cos θ
Answer» If $θ = 30^{o}$ ,verify that: (i) $t a n 2 θ = \frac{2 t a n θ}{1 - t a n^{2} θ}$ (ii) $s i n 2 θ = \frac{2 t a n θ}{1 + t a n^{2} θ}$ (iii) $c o s 2 θ = \frac{1 - t a n^{2} θ}{1 + t a n^{2} θ}$ (iv) $c o s 3 θ = 4 c o s^{3} θ - 3 c o s θ$

If θ=30o,verify that: (i) tan 2 θ=2 tan θ1−tan2 θ (ii) sin 2θ=2 tan θ1+tan2 θ (iii) cos2 θ=1−tan2 θ1+tan2 θ (iv) cos3θ=4 cos3 θ−3 cos θ

Answer»

If $θ = 30^{o}$ ,verify that:

(i) $t a n 2 θ = \frac{2 t a n θ}{1 - t a n^{2} θ}$

(ii) $s i n 2 θ = \frac{2 t a n θ}{1 + t a n^{2} θ}$

(iii) $c o s 2 θ = \frac{1 - t a n^{2} θ}{1 + t a n^{2} θ}$

(iv) $c o s 3 θ = 4 c o s^{3} θ - 3 c o s θ$

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If θ=30o,verify that: (i) tan 2 θ=2 tan θ1−tan2 θ (ii) sin 2θ=2 tan θ1+tan2 θ (iii) cos2 θ=1−tan2 θ1+tan2 θ (iv) cos3θ=4 cos3 θ−3 cos θ

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