![Find the value of the expression given below,$\\sin 30{}^\\circ \\cos 60{}^\\circ +\\sin 60{}^\\circ \\cos 30{}^\\circ $[a] $\\dfrac{1}{2}$ [b] $\\dfrac{\\sqrt{3}}{2}$[c] 1[d] $\\dfrac{1}{4}$ Find the value of the expression given below,$\\sin 30{}^\\circ \\cos 60{}^\\circ +\\sin 60{}^\\circ \\cos 30{}^\\circ $[a] $\\dfrac{1}{2}$ [b] $\\dfrac{\\sqrt{3}}{2}$[c] 1[d] $\\dfrac{1}{4}$](https://www.vedantu.com/question-sets/3133d5d2-9f85-4708-8247-4c9022ca3d2b533566142221187849.png)
Find the value of the expression given below,$\\sin 30{}^\\circ \\cos 60{}^\\circ +\\sin 60{}^\\circ \\cos 30{}^\\circ $[a] $\\dfrac{1}{2}$ [b] $\\dfrac{\\sqrt{3}}{2}$[c] 1[d] $\\dfrac{1}{4}$
![The product of sin 30 and sin 60 is same as the product of cos 60 degrees tan 30 degrees and cos 30 degrees tan 60 degrees. The product of sin 30 and sin 60 is same as the product of cos 60 degrees tan 30 degrees and cos 30 degrees tan 60 degrees.](https://d138zd1ktt9iqe.cloudfront.net/media/seo_landing_files/q251-1637043189.png)
The product of sin 30 and sin 60 is same as the product of cos 60 degrees tan 30 degrees and cos 30 degrees tan 60 degrees.
![Evaluate the following: (i) sin 60° cos 30° + sin 30° cos 60° (ii) 2 tan² 45° + cos² 30° - sin² 60° (iii) cos 45°/(sec 30° + cosec 30°) (iv) sin 30° + tan 45° - cosec 60°/(sec 30° + cos 60° + cot 45°) Evaluate the following: (i) sin 60° cos 30° + sin 30° cos 60° (ii) 2 tan² 45° + cos² 30° - sin² 60° (iii) cos 45°/(sec 30° + cosec 30°) (iv) sin 30° + tan 45° - cosec 60°/(sec 30° + cos 60° + cot 45°)](https://d138zd1ktt9iqe.cloudfront.net/media/seo_landing_files/trigonometric-table-for-standard-angles-1626077546.png)
Evaluate the following: (i) sin 60° cos 30° + sin 30° cos 60° (ii) 2 tan² 45° + cos² 30° - sin² 60° (iii) cos 45°/(sec 30° + cosec 30°) (iv) sin 30° + tan 45° - cosec 60°/(sec 30° + cos 60° + cot 45°)
![How do you evaluate the sine, cosine, and tangent of the angle 30 degrees without using a calculator? | Socratic How do you evaluate the sine, cosine, and tangent of the angle 30 degrees without using a calculator? | Socratic](https://useruploads.socratic.org/rjCnQLxKS2LPNZaAcUhw_131619499_orig.gif)