๐ TRIGONOMETRY ๐
B P.
Q6.. CosA = 5/13 Find the value of SinA -- CotA. [B] CotA + 1
2 TanA CosA.
Q7. If SinA + CosecA = 2. Find the value of sin2A + Cosec2A .
Q8. If 4 Sinฮธ = 3 cosฮธ . find the value of {a} sinฮธ . {b}Cosฮธ. {c} tanฮธ .
Q9. In a ∆ABC , Right angled at B , It is given that AB = 5 CM and BC + AC = 25 CM Find the value 1.SinA 2.SinC 3.CosA 4. CosC 5.TanA 6.TanC
10. Express the trigonometric ratios sinA ,CosA , secA and tanA In terms of cotA.
Q11. Prove the following identities:-
a. ( Cosecฮธ – cotฮธ)2 = 1—cosฮธ
1+ cosฮธ
b Tan480 × Tan23o ×Tan42 o × Tan67o = 1.
Q12. Evaluate :---
COS 45o
Sec 30o + Cosec30o
Q13. If Sinฮธ + sin2ฮธ = 1. prove that cos2ฮธ + cos4ฮธ = 1.
Q14. Cos ฮธ + 1+ sin ฮธ =2 SEC ฮธ Prove the following identities
1+ Sinฮธ cos ฮธ
Q15.If Sin 3A = COS( A- 10O) , Where 3A is an acute angle then, find the value of angle A.
Q13.Cos1o x Cos2o x Cos3o x Cos4o x Cos5o xCos6o ......xCos90o find the value=?
Q14.In a right triangle ABC at B=90°, AB= 24CM and BC= 7 cm . determine the sinA SinC CosA CosC TanA TanC CotA CotC CosecA
Q15. If Tan (A+B) = √3 and Tan( A-- B)= 1/√3 A˃B , 0O ˃ A+B,< 90O Find the A &B.
ANSWER
Q1. SECA= √2.
Q2. A] 395/3744. [B.] 181/60.
Q3. sin2A + Cosec2A = 2.
Q4. {a} sinฮธ .= 3/5 {b} Cosฮธ. =4/5 {c} tanฮธ .= 3/4
Q5. 1. SinA 2. SinC 3.CosA 4. CosC 5.TanA 6.TanC
Q6. 1. SinA 2. SinC 3.CosA 4. CosC 5.TanA 6.TanB
Q7. sinA ,CosA , secA and tanA
Q9 3√2 - √6
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8.
Q12. 25 DEGREE
Q13. 0 DEGREE
Q14.sinA =7/25 SinC =24/25 CosA =24/25 CosC =7/25 TanA =7/24 TanC=24/7 CotA = 24/7 CotC=7/24 CosecA =25/7
Q15. A= 45 DEGREE B= 15 DEGREE
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