Question

Sin160+cos290/sin340+cos110

Answer 1

Given :

• $\implies\sf {\dfrac{Sin160 \degree+cos290 \degree}{sin340 \degree+cos110 \degree}}$

To find :

• solve

Solution :

$\implies\sf {\dfrac{Sin160 \degree+cos290 \degree}{sin340 \degree+cos110 \degree}} \\ \\ \implies\sf {\dfrac{Sin(90 \degree\times 2 - 20 \degree) +cos(90 \degree\times 3 + 20 \degree)}{sin (90 \degree\times 4 - 20 \degree)+cos(90 \degree\times 1 + 20 \degree)}} \\ \\ \implies \sf{\dfrac{Sin(180 \degree- 20 \degree) +cos(270 \degree- 20 \degree)}{sin (360 \degree - 20 \degree+cos(90\degree + 20)}} \\ \\ \implies \sf{ \dfrac{sin \: 20 + sin20}{ - sin \: 20 - sin \: 20} } \\ \\ \implies \sf{ \dfrac{1 + 1}{ - 1 - 1} } \\ \\ \implies \sf{ \dfrac{2}{ - 2} } \\ \\ \implies \boxed{ \sf{ \underline{ \blue{ - 1}}}}$

Answer 2

Answer:

-2.3420201433256687330440996146823

Step-by-step explanation: