Question

find the value of tan²45°+cos²30°-sin²60°​

Answer 1

Answer:

Tan45 = 1

Cos 30 = √3/2

Sin 60 = √3/2

then putting values

1²+(√3/2)²-(√3/2)² = 1+ 3/4 -3/4 = 1 answer.

Answer 2

Answer:

★ Value will be 1 ★

Step-by-step explanation:

Given:

• tan²45° + cos²30° – sin²60°

To Find:

• Value of the equation

Solution:

→ Finding values of

• tan²45° = (1)² = 1

• cos²30° = (√3/2)² = 3/4

• sin²60° = (√3/2)² = 3/4

★Putting all the values in the given equation ★

$\small\implies{\sf }$ 1 + 3/4 – 3/4

→ Take LCM of 4 and 4 = 4

$\small\implies{\sf }$ 4 + 3 – 3 / 4

$\small\implies{\sf }$ 7 – 3 / 4

$\small\implies{\sf }$ 4 / 4 = 1

Hence, The value of tan²45°+cos²30°-sin²60° = 1