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Question: sin<sup>–1</sup> sin 22 + cos<sup>–1</sup>cos 33 + tan<sup>–1</sup> tan 44 =...

sin–1 sin 22 + cos–1cos 33 + tan–1 tan 44 =

A

55 – 17p

B

16p – 48

C

45 – 18p

D

None

Answer

55 – 17p

Explanation

Solution

cos–1[cos⁡(π4+9π10)]\left\lbrack \cos\left( \frac{\pi}{4} + \frac{9\pi}{10} \right) \right\rbrack; cos–1[cos⁡46π40]\left\lbrack \cos\frac{46\pi}{40} \right\rbrack

2p – 46π40\frac{46\pi}{40} = 34π40\frac{34\pi}{40}= 17π20\frac{17\pi}{20}