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
Using the cosine of a sum formula: $\cos(\alpha\pm\beta)=\cos(\alpha)\cos(\beta)\mp\sin(\alpha)\sin(\beta)$, where angle $\alpha$ equals $t$, and angle $\beta$ equals $-\frac{\pi}{2}$
Learn how to solve trigonometric identities problems step by step online.
$\cos\left(t-\frac{\pi}{2}\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity cos(t+-pi/2)=sin(t). Starting from the left-hand side (LHS) of the identity. Using the cosine of a sum formula: \cos(\alpha\pm\beta)=\cos(\alpha)\cos(\beta)\mp\sin(\alpha)\sin(\beta), where angle \alpha equals t, and angle \beta equals -\frac{\pi}{2}. The sine of -\frac{\pi}{2} equals -1. Multiply -1 times -1.