Question

Find the value of: 5 sin*30 + cos*45 - 4 tan*30/2 sin30* cos30* + tan 45* Underline indicates the division line,while * indicates square ..Thanks

Answer 1

Firstly we need to find all the trigonometric ratios value
Sin 30=1/2
Cos 45=1/root2
Tan 30= 1 / root 3
Cos 30 = root3/2
Tan 45 =1 by putting their respective values we have
5(1/2)*+ (1/root 2)*- 4 (1/root 3/2)*(1/2)*(root 3/2)*+1 where * stands for square
We get
5/4+1/2-4(1/12)(1/4)(3/4)+1
On canceling out what we can we get
5/4+1/2-3/48+1
On taking lcm we get
7/4-3/48+1
Taking lcm again we have
81/48+ 1
Again taking the lcm
129/48