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For 2-3, suppose sin α = following. 2) cos (2a) in(4) 2 3) sin and cos ß=-- --- , and T

For 2-3, suppose sin α = following. 2) cos (2a) in(4) 2 3) sin and cos ß=-- --- , and T

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3 For 2-3, suppose sin a == and cos B $B=- 5 following. 2) cos(2a) sin (4) 2 3) sin 4 , and T <a 0<< E <a<π and 0<B< Evaluate the
Transcribed Image Text:3 For 2-3, suppose sin a == and cos B $B=- 5 following. 2) cos(2a) sin (4) 2 3) sin 4 , and T <a 0<< E <a<π and 0<B< Evaluate the
7) Write the following expression in algebraic notation (no trig functions) cot (sin-'(x)), x<1
Transcribed Image Text:7) Write the following expression in algebraic notation (no trig functions) cot (sin-'(x)), x<1
Expert Solution
Step 1

We’ll answer the first question since the exact one wasn’t specified. Please submit a new question specifying the one you’d like answered.

Given that sinα=35 and cosβ=−14 and π2<α<π, 0<β<π2.

2 We have to evaluate cos2α.

Use formula cos2x=1−2sin2x

Hence,

cos2α=1−2sin2α=1−2352=1−2925=1−1825=725

Hence, cos2α=725.

Since, π2<α<π, Hence, π<2α<2π

Therefore, cos2α=-725 in π<2α<3π2

And cos2α=725 in 3π2<2α<2π.

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7) Write the following expression in algebraic notation (no trig functions) cot (sin-'(x)), x<1
Transcribed Image Text:7) Write the following expression in algebraic notation (no trig functions) cot (sin-'(x)), x<1
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