Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

13. Find the exact value of sin 30 ° - sin 45 ° cos 45 ° .
a. 0
b. 1/2
c. 1
d. 2


Sagot :

[tex]sin30^o-sin45^ocos45^o\\\\sin30^o=\frac{1}{2}\\\\sin45^o=cos45^o=\frac{\sqrt2}{2}\\\\sin30^o-sin45^ocos45^o=\frac{1}{2}-\frac{\sqrt2}{2}\cdot\frac{\sqrt2}{2}=\frac{1}{2}-\frac{2}{4}=\frac{1}{2}-\frac{1}{2}=0\\\\Answer:a.[/tex]
sin30  1/2
sin45*cos45=1/2
=>  1/2  -  1/2 = 0