Question

find the value of x where

sin30° + cos 45 ° = x ​

Answer 1

Given :-

• sin 30° + cos 45 ° = x

To Find :-

• Value of x

Solution :-

Given that,

sin 30° + cos 45 ° = x

⟹ 1/2 + 1/√2 = x

⟹ (√2 + 2 ) /2√2 = x

⟹ ( 4 + 4√2) /8 = x

⟹ 4 (1 +√2) = x

⟹ (1 +√2) /2 = x

Hence, the value of x is = (1 +√2) /2

Note :-

• sin 30° = 1/2

• cos 45° = 1/√2

Some Formulas :-

• sin² x + cos² x =1

• 1 + tan²x = sec²x

• cos²x - sin²x = cos 2x

• 1 + cot²x = cosec²x

Answer 2

Answer:

sin 30° + cos 45 ° = x

⟹ 1/2 + 1/√2 = x

⟹ (√2 + 2 ) /2√2 = x

⟹ ( 4 + 4√2) /8 = x

⟹ 4 (1 +√2) = x

⟹ (1 +√2) /2 = x