Solve cos2(35^circ)=1-2sin^235^circ

$$\cos 2 ( 35 ^ { \circ } ) = 1 - 2 \sin ^ { 2 } 35 ^ { \circ }$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$0.3420201433256688 = 1 - 2 \cdot 0.573576436351046 ^ {2}$$

Calculate 0.573576436351046 to the power of 2 and get 0.328989928337165523227345294116.

$$0.3420201433256688=1-2\times 0.328989928337165523227345294116$$

Multiply 2 and 0.328989928337165523227345294116 to get 0.657979856674331046454690588232.

$$0.3420201433256688=1-0.657979856674331046454690588232$$

Subtract 0.657979856674331046454690588232 from 1 to get 0.342020143325668953545309411768.

$$0.3420201433256688=0.342020143325668953545309411768$$

Compare 0.3420201433256688 and 0.342020143325668953545309411768.

$$\text{false}$$