Question

3. cos 0 = cos? 30° - sin30° IV Evaluate the following without using tables: tan 32° sec 46° cot 58° cosec 44° 나 2​

Answer 1

Answer:

Step-by-step explanation:

Evaluation of cot 30 degrees cosec 30° 2 cos 0° sec 30 degrees; 1 45^ sin 300 + cos 45 degrees is done as follows.

Given,

cot 30 degrees cosec 30^ 2 cos 0° sec 30° tan 45 degrees sin 300 + cos 45 degrees

We know the trigonometric ratios:

sin= 1/coses

cos= 1/sec

tan= 1/cot

tan=sin/cos;

cot=cos/sin

Now we have,

cot 30° cosec 30^ 2 cos 0^ sec 30 degrees * t * a * r; 45 degrees sin 300 + cos 45 degrees;

=(cos 30^ /sin 30^ )*(1/sin 30^ )*(2 cos 0^ )*; (1/cos 30^ )*(sin 45^ /cos 45^ )* sin(360^ - 60^ )+cos 45^;

=2 cos 0^ /sin^ 2 30^ *(sin 45^ /cos 45^ )*(-sin; 60^ )+cos 45^;

=(2 cos 0^ /sin^ 2 30^ )*(sin 45^ /cos 45^ )*(-sin; 60^ )+cos 45^;

=(2 cos 0^ /sin^ 2 30^ )*(sin(90^ -45^ )/cos 45^ ); *(-sin 60^ )+cos 45^;

=(2 cos 0^ /sin^ 2 30^ )*(cos 45^ /cos 45^ )*(-sin 60°1 + cos 450