Question

25. If tanA = 34 then find the value of 1/SinA + 1/CosA
यदि tanA = *हो तो 1/SinA + 1/COSA का मान ज्ञात कीज​

Answer 1

Answer:

1/sinA + 1/cosA = (35√1157)/34

Explanation:

tanA= 34

=> tan^2A = 1156

we know that.

1+tan^2A = sec^2A

so

sec^2A = 1+1156 =1157

=> sec A = √1157

cos A = 1/secA = 1/√1157

we know that,

sin^2A = 1-cos^2A

then,

sin^2A = 1 - 1/1157 = (1157-1)/1157 =1156/1157

=> sinA = 34/√1157

1/sinA + 1/cosA = √1157/34 + √1157/1

= (√1157 + 34√1157)/34

= (35√1157)/34