{"id":546,"date":"2025-01-23T12:30:01","date_gmt":"2025-01-23T07:00:01","guid":{"rendered":"https:\/\/leverageedu.com\/questions-answers\/?p=546"},"modified":"2025-01-31T11:42:04","modified_gmt":"2025-01-31T06:12:04","slug":"find-the-value-of-this-expression-sin-30cos-60-sin-60cos-30","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/questions-answers\/find-the-value-of-this-expression-sin-30cos-60-sin-60cos-30\/","title":{"rendered":"Find the Value of this Expression: sin 30cos 60 + sin 60cos 30"},"content":{"rendered":"\n

Correct Answer:<\/strong> The value of Sin 30Cos60+Sin 60Cos 30 is equal to 1<\/strong>.\u00a0<\/p>\n\n\n\n

This question hinges on your understanding of trigonometric functions, specifically sine (sin) and cosine (cos), and their values at specific angles. So, to achieve a value of the given expression, you would have to substitute the values of Sin 30\u00b0<\/strong>, Cos 60\u00b0<\/strong>, Sin 60\u00b0<\/strong>, and Cos 30\u00b0<\/strong><\/p>\n\n\n\n

Complete Step-by-Step Answer<\/strong><\/p>\n\n\n\n

Let\u2019s take a look at the following table of trigonometry values to analyse all the options one by one. <\/p>\n\n\n\n

Angle<\/strong><\/td>Sin<\/strong><\/td>Cos<\/strong><\/td>Tan<\/strong><\/td>Cosec<\/strong><\/td>Sec<\/strong><\/td>Cot<\/strong><\/td><\/tr>
0\u00b0<\/strong><\/td>0<\/td>1<\/td>0<\/td>–<\/td>1<\/td>–<\/td><\/tr>
30\u00b0<\/strong><\/td>1\/2<\/td>\u221a3\/2<\/td>1\/\u221a3<\/td>2<\/td>2\/\u221a3<\/td>\u221a3<\/td><\/tr>
45\u00b0<\/strong><\/td>\u221a2\/2<\/td>\u221a2\/2<\/td>1<\/td>\u221a2<\/td>\u221a2<\/td>1<\/td><\/tr>
60\u00b0<\/strong><\/td>\u221a3\/2<\/td>1\/2<\/td>\u221a3<\/td>2\/\u221a3<\/td>2<\/td>1\/\u221a3<\/td><\/tr>
90\u00b0<\/strong><\/td>1<\/td>0<\/td>–<\/td>1<\/td>–<\/td>0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Step 1:<\/strong> Recall the Trigonometric Values<\/p>\n\n\n\n

As you can see in the table above, we have –\u00a0<\/p>\n\n\n\n

Using standard trigonometric values:<\/p>\n\n\n\n