Question

If √3 tan ∅ = 1, then find the value of sin²∅ - cos²∅

Answer 1

=> √3 tan ∅ = 1

=> tan ∅ = 1/√3

=> tan ∅ = tan 30°

=> ∅ = 30 °

= sin²∅ - cos²∅

= sin² 30 - cos² 30

= (1/2)² - (√3/2)²

= 1/4 - 3/4

= -2/4

= -1/2

Answer 2

-1/2

Step-by-step explanation:

Given:

√3 tan ∅ = 1

To Find:

sin² ∅ - cos²∅

How to Solve ?

Basically There is 2 way to solve but I will go through with easy one.

1. Just solve given for ∅.

2. Put the value of ∅ in equation.

3. Substitute the Trigonometry Angle value

4. Solve as a equation and get answer.

Sound So Simple ^_^

Solution:

Click on photo

Some Important Trigonometry Angle

See in attachment