Question

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Answer 1

Answer:

refer to attachment.....

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Answer 2

Question:-

➡ Evaluate the following.

Answer:-

➡ The correct answer to the question is 1.

Step By Step Solution:-

$\sf \frac{ { \cos }^{2}(34 \degree) + { \cos }^{2}(56 \degree)}{ { \sin }^{2}(59 \degree) + { \sin}^{2}(31 \degree) }$

$\sf = \frac{ { \cos}^{2}(90 \degree - 56 \degree) + { \cos }^{2}(56 \degree)}{ { \sin }^{2}(59 \degree) + { \sin}^{2}(90 \degree - 59 \degree) }$

$\sf = \frac{ { \sin}^{2}(56 \degree) + { \cos }^{2}(56 \degree)}{ { \sin }^{2}(59 \degree) + { \cos}^{2}(59 \degree) }$

$\sf = \frac{1}{1}$

$\sf = 1$

➡ Hence, the required answer is 1.

Formula Used:-

• $\sf \sin(90 \degree - x) = \cos(x)$
• $\sf \cos(90 \degree - x) = \sin(x)$
• $\sf { \sin }^{2} (x) + { \cos}^{2}(x) = 1$