The value of cos⁡sin−1⁡14+sec−1⁡43, is

cos⁡sin−1⁡14+sec−1⁡43=cos⁡sin−1⁡14+cos−1⁡34=cos⁡sin−1⁡14cos⁡cos−1⁡34−sin⁡sin−1⁡14sin⁡cos−1⁡34=cos⁡cos−1⁡154cos⁡cos−1⁡34−sin⁡sin−1⁡14sin⁡sin−1⁡74∵sin−1⁡14=cos−1⁡154 and cos−1⁡34=sin−1⁡74=154×34−14×74=315−716