Question

Evaluate each of the following:
sin²30°cos²45°+4tan²30°=1/2sin²90°-2cos²90°+1/24cos²0°

Answer 1

sin²30°cos²45°+4tan²30° + (1/2)sin²90°-2cos²90° + (1/24)cos²0° = 2

Step-by-step explanation:

Correct Question is :

Evaluate

sin²30°cos²45°+4tan²30° + (1/2)sin²90°-2cos²90° + (1/24)cos²0°

sin²30° = (1/2)² = 1/4

cos²45° = (1/√2)² = 1/2

tan²30° = (1/√3)² = 1/3

sin²90° = 1

cos²90° = 0

cos²0° = 1

= (1/4)(1/2)  + 4(1/3)   + (1/2)(1) - 2*0  + (1/24)1

= 1/8  + 4/3  + 1/2  + 1/24

= (3 + 32 + 12 + 1)/24

= 48/24

= 2

sin²30°cos²45°+4tan²30° + (1/2)sin²90°-2cos²90° + (1/24)cos²0° = 2

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Answer 2

$\huge\star\mathfrak\blue{{Answer:-}}$

sin²30 cos²45+ 4tan²30+1/2sin²90-2cos²90+1/24

=>(1/2)²(1/√2)² + 4(1/√3)² +1/2(1)² -2×0 +1/24

=>1/4×1/2 +4/3+1/2-0+1/24

=>1/8+4/3+1/2+1/24

=>48/24

=>2