Question

Match the terms having same value.

• A. $tan{47}^{\circ }$
• B. $cot{73}^{\circ }$
• C. $sin{52}^{\circ }$
• D. $cos{26}^{\circ }$

Answer 1

From complementary relation we have
$sin\theta =cos({90}^{\circ }-\theta )$ and vice versa
$tan\theta =cot({90}^{\circ }-\theta )$ and vice versa
Hence,
$tan{17}^{\circ }=cot({90}^{\circ }-{17}^{\circ })=cot{73}^{\circ }$
Similarly,
$cot{43}^{\circ }$ = $tan{47}^{\circ }$
$cos{38}^{\circ }$ = $sin{52}^{\circ }$
$sin{64}^{\circ }$ = $cos{26}^{\circ }$