Question

The value of sin square 30 degree - cos square 30 +tan 45

Answer 1

Answer:

the answer is as follows

$\sin30 = 1by2$

$\cos(30 ) = \sqrt{3 \: } by \: 2$

$\tan(45) = 1$

1. sin^2 30=(1/2)^2=1/4
2. cos^2 30=(root3/2)^2=3/4
3. tan 45=1

• so,sin^2 30-cos^ 30+tan 45=
• 1/4-3/4+1
• -2/4+1
• 1/2

The answer is ,1/2

My keypad isn't having root symbols and other symbols,I hope you adjust with my answer

Answer 2

The value of sin²30° - cos²30° + tan 45° is 1/2

Given:  

sin square 30 degree - cos square 30 +tan 45  

To find:  

sin²30° - cos²30° + tan 45°

Solution:

Trigonometric Ratios:

Trigonometric ratios are defined as the values of all trigonometric functions depending on the ratio of sides of a right-angled triangle. The trigonometric ratios of a given acute angle are the ratios of a right-angled triangle's sides to that angle.

     

Here we have,

sin²30° - cos²30° + tan 45°  

From trigonometric table,

sin 30° =  1/2

cos 30° = √3/2  

tan 45° = 1  

sin²30° - cos²30° + tan 45°  can be calculated as given below

Substitute above value in given expression

=> (1/2)² - (√3/2) + 1

=>  1/4 - 3/4 + 1  

=>  -2/4 + 1

=> -1/2 + 1

=> 1/2

Therefore,

The value of sin²30° - cos²30° + tan 45° is 1/2

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