Prove the following (i) cos(π/2 + x) = - sinx (ii) sin(π/2 + x) = cosx - Sarthaks eConnect | Largest Online Education Community
![Using the unit circle, how do you find the value of the trigonometric function: sec -(pi/2)? | Socratic Using the unit circle, how do you find the value of the trigonometric function: sec -(pi/2)? | Socratic](https://useruploads.socratic.org/RpmrkSpT42E8uy5SsNlv_38F194AB-D7A5-4009-9ED4-48C7A736721F.png)
Using the unit circle, how do you find the value of the trigonometric function: sec -(pi/2)? | Socratic
![If sin^(-1)x in (0, (pi)/(2)), then the value of tan((cos^(-1)(sin(cos ^(-1)x))+sin^(-1)(cos(sin^(-1)x)))/(2)) is : If sin^(-1)x in (0, (pi)/(2)), then the value of tan((cos^(-1)(sin(cos ^(-1)x))+sin^(-1)(cos(sin^(-1)x)))/(2)) is :](https://d10lpgp6xz60nq.cloudfront.net/web-thumb/135901175_web.png)
If sin^(-1)x in (0, (pi)/(2)), then the value of tan((cos^(-1)(sin(cos ^(-1)x))+sin^(-1)(cos(sin^(-1)x)))/(2)) is :
![calculus - Reduction formula for $\int_0^{\pi/2}\cos^m\theta\sin^n\theta\,d\ theta$ - Mathematics Stack Exchange calculus - Reduction formula for $\int_0^{\pi/2}\cos^m\theta\sin^n\theta\,d\ theta$ - Mathematics Stack Exchange](https://i.stack.imgur.com/SjHim.png)