Eduprobe
Question:
If sin(sin⁻¹(1/5) + cos⁻¹x) = 1, then find the value of x.
Solution:
sin(sin�+cosx)=1sin(sin�+cosx)=sinπ2∴sin�+cosx=π2Letsin�=θ, sosinθ=15.. (1)∴θ+cosx=π2cosx=π2−θx=cos(π2−θ)x=sinθ=15...from (1)
sin(sin�+cosx)=1sin(sin�+cosx)=sinπ2∴sin�+cosx=π2Letsin�=θ, sosinθ=15.. (1)∴θ+cosx=π2cosx=π2−θx=cos(π2−θ)x=sinθ=15...from (1)