Question
What is the value of in in the equation? A. 14 B. 76 C. 166 D. 346 sin14^circ =cosx^circ
Solution
4.2
(231 Votes)
Kimber
Master · Tutor for 5 years
Answer
Here's how to solve this problem:* **Complementary Angles:** The sine of an angle is equal to the cosine of its complementary angle. Two angles are complementary if their sum is 90 degrees.* **Setting up the Equation:** Since sin(14°) = cos(x°), we know that 14° and x° are complementary angles. Therefore: 14° + x° = 90°* **Solving for x:** Subtract 14° from both sides of the equation: x° = 90° - 14° x° = 76°Therefore, the answer is