Question

sin2 60 +2tan 45 - cos 2 30​

Answer 1

Given :

• sin² 60 +2tan 45 - cos²30

To Find :

• simplify the number

Solution :

Using trigonometric value :

• if you look the table carefully then you can see if only we will find only value of sin is then all ratio are automatically will find .

• like cos is just opposite to sin.

• if we find sin and cos then tan =sin/cos so it is also find here

Noww ,here sin ,cos and tan are ratioprocal of cosec ,cos, and cot

• Sin - cosec ( Ratiprocal )

• Cos - sec. ( Ratiprocal )

• Tan - cot ( Ratiprocal )

______________________

We Have To Evaluate :

➭ Sin 60 = √3 / 2

➭ tan 45 = 1

➭ cos 30 = √3 / 2

sin² 60 +2tan 45 - cos²30

Substitute all Values :

➭ ( √3/2)² + 2 × 1 - (√3/2)²

➭ 3/4 + 2 - 3/4

➭ 2

• Hence the answer is 2