Final answer to the problem
true
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
- Load more...
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1
Starting from the left-hand side (LHS) of the identity
Learn how to solve proving trigonometric identities problems step by step online.
$\sin\left(\frac{\pi }{2}-x\right)\sec\left(x\right)$
Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity sin(pi/2-x)sec(x)=1. Starting from the left-hand side (LHS) of the identity. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Using the sine of a sum formula: \sin(\alpha\pm\beta)=\sin(\alpha)\cos(\beta)\pm\cos(\alpha)\sin(\beta), where angle \alpha equals \frac{\pi }{2}, and angle \beta equals -x. The sine of \frac{\pi }{2} equals 1.
Final answer to the problem
true
