if sin q = 3/4, find the value of 4 tan q - 5 cos q / sec q + 4 cot q
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Answer:
39/160
Step-by-step explanation:
With pythagoreas theorem, the three sides respectively would be √7, 3 and 4. Substituting values given in the equation,
4 (3/√7) - 5 (√7/4) / (4/ √7) + 4(√7/ 3)
12/√7 - 5√7/4 / 4/√7 + 4√7/3
48/4√7 - 35/4√7 / 12/3√7 + 28/3√7
13/4√7 / 40/3√7
13/4 x 3/40
39/160
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