Question

Find the value of ½Cos 60° +¼Sin90°+½sin30°+¼tan45°​

Answer 1

Step-by-step explanation:

Given :-

Cos 60° +¼Sin90°+½sin30°+¼tan45°

To find:-

Find the value of ½Cos 60° +¼Sin90°+½sin30°+¼tan45° ?

Solution:-

Given that

Find the value of ½Cos 60° +¼Sin90°+½sin30°+¼tan45°

We know that

Cos 60° =1/2

Sin 90° = 1

Sin 30° = 1/2

Tan 45° = 1

On Substituting these values in the above expresion

=>( 1/2)(1/2)+(1/4)(1)+(1/2)(1/2)+(1/4)(1)

=> (1×1)/(2×2)+(1×1)/4 + (1×1)/(2×2) +(1×1)/4

=> (1/4)+(1/4)+(1/4)+(1/4)

LCM of the denominators = 4

=> (1+1+1+1)/4

=> 4/4

=>1

Answer:-

The value of the given problem is 1

Used formulae:-

• Cos 60° = 1/2

• Sin 90° = 1

• Sin 30° = 1/2

• Tan 45° = 1