Question

The product, p=4.sin17.sin43.sin77 simplifies
A)sin51
B)cos47
C)sin53
D)cos73

Answer 1

we know cos A+cos B+cos C -1=4sin A÷2sinB÷2sinc÷2 so if applied this formula I will get optionA sin 51

Answer 2

Answer:

Option A- sin 51

Step-by-step explanation:

Given : p=4.sin17.sin43.sin77

To simplify:

Step 1 : Write the equation

$p=4\times sin17\times sin43\times sin77$

Step 2: Solve (angles are in degree)

$p=4\times0.292371704723\times0.681998360062\times 0.974370064785$

$p=0.777145961457$

Now, we check all the options

A) sin 51  = 0.777145961457

B) cos 47= 0.681998360062

C) sin 53  = 0.798635510047

D) cos 73= 0.798635510047

We can see option A matches with our answer

Therefore, Option A is correct