## sin(pi/2-x) Formula | Simplify sin(x-π/2)

The sin(π/2-x) formula is given as follows: sin(π/2-x)=cosx …(∗) The formula of sin(pi/2-θ) is given by sin(π/2-θ)=cosθ. In this post, we will learn how to compute sin(pi/2-x) or sin(θ-pi/2). Proof of sin(pi/2-x) Formula To establish the above formula (∗), that is, the formula of sin(π/2-x), we need to apply the below formula: sin(a-b) = sina … Read more

## sin(pi-x) Formula | Formula of sin(pi-theta)

For any x, sin(pi-x) formula is given below: sin(pi-x)=sinx Similarly, sin(pi-theta)=sin theta. In this post, we will learn how to compute sin(pi-x) or sin(pi-theta). sin(pi-x) Simplify To find the formula of sin(π-x), we will apply the following trigonometric identity: sin(A-B) = sinA cosB – cosA sinB …(∗) Here we put A=π and B=x; so that … Read more

## General Solutions of sinx=-1 | Solve sinx=-1

The general solutions of sinx=-1 are given by x=(4n-1)π/2 where n is any integer. In this post, we will learn how to find the general solutions of the trigonometric equation sinx=-1. sinx=-1 General Solution Question: Find the general solutions of sinx= -1. Answer: As sin(-π/2)= -1, the equation sinx= -1 can be written sinx = … Read more

## General Solution of sinx=1 | Solve sinx=1

The general solution of sinx=1 is given by x=(4n+1)π/2 where n is any integer. In this post, we will learn how to find the general solutions of the trigonometric equation sinx=1. sinx=1 General Solution Question: Find the general solutions of sinx=1. Answer: As sin(π/2)=1, the equation sinx=1 can be written sinx = sin(π/2). ∴ x=mπ+(-1)m … Read more