Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Prove from LHS (left-hand side)
- Prove from RHS (right-hand side)
- Express everything into Sine and Cosine
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
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Starting from the left-hand side (LHS) of the identity
Learn how to solve trigonometric identities problems step by step online.
$\cos\left(a\right)^4-\sin\left(a\right)^4$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity cos(a)^4-sin(a)^4=cos(2a). Starting from the left-hand side (LHS) of the identity. Simplify \sqrt{\cos\left(a\right)^4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{2}. Any expression multiplied by 1 is equal to itself. Simplify \sqrt{\sin\left(a\right)^4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{2}.
