Question

Please solve the sum. Steps needed Ans-. (4)

Answer 1

Answer:

Don't worry bro

I will solve it for u

See

sin30°=1/2

cos^2 45°=1/2

tan30°=1/√3 , so 4 tan 30° is 4/√3 and 4tan^2 30° = 4/3

sin90°=1 ,so 1/2 sin90°= 1/2

cot 60°=√3 so cot^2 60° =3 ,so 1/8 cot^2 60°= 3/8

Now

1/2×1/2 + 4/3+ 1/2+3/8= 59/24

Answer 2

AnswEr :-

• 21/8

Given :-

• sin²30° + cos²45° + 4tan²30° + 1/2sin²90° + 1/8cot²60°

[ Correction :- put + in the place of × ]

To Find :-

• Value of the given question.

SoluTion :-

Values of the given trigonometric ratios :-

• sin30° = 1/2

• cos45° = 1/√2

• tan30° = 1/√3

• sin90° = 1

• cot60° = 1/√3

Put the values in the equation

• sin²30° => (1/2)²

• cos²45° => (1/√2)²

• 4tan²30° = 4 × 1/√3 => 4/(√3)²

• 1/2sin²90° = 1/2 × 1 = 1/2 × (1)²

• 1/8cot²60° = 1/8 × 1/√3 = 1/8(√3)²

According to question :-

(1/2)² + (1/√2)² + 4/(√3)²+ 1/2+ 1/8(√3)²

→ 1/4 + 1/2 + 4/3 + 1/2 + 1/24

→ 1 + 1/4 + 4/3 + 1/24

→ 5/4 + 4/3 + 1/24

→ (30 + 32 + 1)/24

→ 63/24

→ 21/8

Hence, the answer is 21/8.