Question

Prove that
(i) cos² 30° + sin 30° + tan² 45º = 2 1/4​

Answer 1

${( \frac{ \sqrt{3} }{2}) }^{2} + \frac{1}{2} + {(1)}^{2} \\ \\ = > \frac{3}{4} + \frac{1}{2} + 1 = \frac{3 + 2 + 4}{4} \\ \\ = > \frac{9}{4} = 2 \frac{1}{4}$

HENCE PROVED ✔✔

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Answer 2

Answer:

L.H.S,

cos2(30°)+sin(30°)+tan2(45°)

= (√3/2)2+(1/2)+(1)2

=(3/4)+(1/2)+1

=(3+2+4)/4

=9/4

=2 1/4

=R.H.S (proved)

Step-by-step explanation:

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