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Basic Trigonometric Identities

sin2 20+sin27...

Question

${sin}^{2} 20 + {sin}^{2} 70$ is equal to_____

A

1

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B

- 1

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C

0

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D

2

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Solution

The correct option is C $1$
${sin}^{2} 20^{o} + {sin}^{2} 70^{o} = {sin}^{2} 20^{o} + {sin}^{2} (90^{o} - 20^{o}) = {sin}^{2} 20^{o} + {cos}^{2} 20^{o} = 1$

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Similar questions

{sin}^{2} 20^{\circ} + {sin}^{2} 70^{\circ} =

?

Q. The value of sin² 20° + sin² 70° is __________.

Q. The value of

tan 80^{\circ} tan 10^{\circ} + {sin}^{2} 70^{\circ} + {sin}^{2} 20^{\circ}

Q. Without using trigonometric tables, evaluate that :

\frac{{sin}^{2} 20^{\circ} + {sin}^{2} 70^{\circ}}{{cos}^{2} 20^{\circ} + {cos}^{2} 70^{\circ}} + \frac{sin (90^{\circ} - θ) sin θ}{tan θ} + \frac{cos (90^{\circ} - θ) cos θ}{cot θ}

\frac{cos 27^{0} + sin 27^{0}}{cos 27^{0} - sin 27^{0}} = tan 72^{0}

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