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Evaluate: ta $n^{2}$ 30° + cose $c^{2}$ 30°.
Use exact known values.

Class 10Trigonometric IdentitiesTrigonometry

A $\frac{13}{3}$
B $\frac{4}{3}$
C5
D $\frac{1}{3}$

Step-by-Step Solution

tan

30 = \frac{1}{3}

so ta

n^{2} 30 = \frac{1}{3}

. cosec 30 = 2 so cose

c^{2}

30 = 4. Sum =

\frac{1}{3} + 4 = \frac{13}{3}

.

Answer: A)

\frac{13}{3}

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